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Books on the topic 'Centre manifold theory'
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1
Dumortier, Freddy. Canard cycles and center manifolds. Providence, R.I: American Mathematical Society, 1996.
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2
Gérard, Iooss, ed. Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems. London: Springer, 2011.
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3
1963-, Ruan Shigui, ed. Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. Providence, R.I: American Mathematical Society, 2009.
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4
editor, Donagi Ron, Douglas, Michael (Michael R.), editor, Kamenova Ljudmila 1978 editor, and Roček M. (Martin) editor, eds. String-Math 2013: Conference, June 17-21, 2013, Simons Center for Geometry and Physics, Stony Brook, NY. Providence, Rhode Island: American Mathematical Society, 2014.
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5
Center for Mathematics at Notre Dame and American Mathematical Society, eds. Toplogy and field theories: Center for Mathematics at Notre Dame, Center for Mathematics at Notre Dame : summer school and conference, Topology and field theories, May 29-June 8, 2012, University of Notre Dame, Notre Dame, Indiana. Providence, Rhode Island: American Mathematical Society, 2014.
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6
Carr, J. Applications of Centre Manifold Theory. Springer London, Limited, 2012.
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7
Iooss, Gérard, and Mariana Haragus. Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems. Springer, 2018.
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8
Cattani, Eduardo, and Phillip Griffiths. Introduction to Kähler Manifolds. Edited by Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, Lê Dũng Tráng, Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, and Lê Dũng Tráng. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161341.003.0001.
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This chapter provides an introduction to the basic results on the topology of compact Kähler manifolds that underlie and motivate Hodge theory. This chapter consists of five sections which correspond, roughly, to the five lectures in the course given during the Summer School at the International Centre for Theoretical Physics (ICTP). The five topics under discussion are: complex manifolds; differential forms on complex manifolds; symplectic, Hermitian, and Kähler structures; harmonic forms; and the cohomology of compact Kähler manifolds. There are also two appendices. The first collects some results on the linear algebra of complex vector spaces, Hodge structures, nilpotent linear transformations, and representations of sl(2,ℂ) and serves as an introduction to many other chapters in this volume. The second contains a new proof of the Kähler identities by reduction to the symplectic case.
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Cattani, Eduardo, Fouad El Zein, Phillip A. Griffiths, and Lê Dung Tráng. Hodge Theory (MN-49). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161341.001.0001.
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This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch–Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and does not require a deep background. At the same time, the book presents some topics at the forefront of current research. The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch–Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck's algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne's theorem on absolute Hodge cycles), and variation of mixed Hodge structures.
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Farb, Benson, and Dan Margalit. The Nielsen-Thurston Classification. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0014.
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This chapter explains and proves the Nielsen–Thurston classification of elements of Mod(S), one of the central theorems in the study of mapping class groups. It first considers the classification of elements for the torus of Mod(T² before discussing higher-genus analogues for each of the three types of elements of Mod(T². It then states the Nielsen–Thurston classification theorem in various forms, as well as a connection to 3-manifold theory, along with Thurston's geometric classification of mapping torus. The rest of the chapter is devoted to Bers' proof of the Nielsen–Thurston classification. The collar lemma is highlighted as a new ingredient, as it is also a fundamental result in the hyperbolic geometry of surfaces.
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Stöltzner, Michael. The Logical Empiricists. Edited by Helen Beebee, Christopher Hitchcock, and Peter Menzies. Oxford University Press, 2010. http://dx.doi.org/10.1093/oxfordhb/9780199279739.003.0007.
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Causation was a central theme for the movement of Logical Empiricism (LE); during its classical European phase — the 1920s and 1930s — and beyond. It would not become one of LE's alleged ‘dogmas’, unlike verificationism and the analytic–synthetic distinction. Rather, the topic of causation paradigmatically exhibits two important features of LE. First, the movement was intimately connected to the scientific developments of the day; its representatives tried to accommodate their analyses to those developments rather than insist on an unassailable philosophical outlook come what may. Second, their joint allegiance to scientific empiricism and modern logic, and the common agenda to replace traditional metaphysics by a scientific world conception, cannot conceal the fact that the members of LE stemmed from different intellectual backgrounds and pursued, the manifold cross-references notwithstanding, original trains of thought. Hence they reacted in different ways to the scientific revolutions that occurred during the heyday of LE, quantum theory foremost.
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Bernstein, Jeffrey A. Baruch Spinoza. Edinburgh University Press, 2018. http://dx.doi.org/10.3366/edinburgh/9781474423632.003.0022.
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There is currently a paucity of literature relating to Agamben’s philosophical treatment of Spinoza (Julie Klein, Dimitris Vardoulakis and Miguel Vatter being notable exceptions).1 There has certainly been no attempt to show how Agamben’s manifold references to the seventeenth-century Dutch-Jewish philosopher form a constellation in his thought. In this chapter, I will attempt to bring those references together under the categorial headings of (1) ‘Living in the Middle Voice’ and (2) ‘The Contemplative Life as Inoperativity’. I choose these categories because Agamben’s key concern (as I read him) involves radically rethinking the figures of ‘life’ and ‘living’ as well as providing a new apologia for contemplation. First, however, a few methodological remarks.
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Barr, Rebecca Anne, Sylvie Kleiman-Lafton, and Sophie Vasset, eds. Bellies, bowels and entrails in the eighteenth century. Manchester University Press, 2018. http://dx.doi.org/10.7228/manchester/9781526127051.001.0001.
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This collection of essays seeks to complicate the notion of the supremacy of the brain as the key organ of the Enlightenment, by focusing on the workings of the bowels and viscera that obsessed writers and thinkers during the long eighteenth century. These inner organs and their mysterious processes of digestion acted as complicating counterpoints to politeness and modes of refined sociability, drawing attention to the deeper, more fundamental, workings of the self. In a form of ‘history from below’, the volume situates the period’s preoccupations with waste, dirt, and detritus within the context of cultures seeking to understand their material dynamics. The collection presents new research on eighteenth-century literature, urban and material history; art history; and the medical humanities. Focussing on bellies, bowels, and entrails, both as recurring tropes and as objects of medical and scientific knowledge, these essays explore the manifold conceptions and understandings of the viscera. This volume analyses how the period probed their inner depths to try and incorporate, rather than simply reject, their material essence.
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Uro, Risto, Juliette J. Day, Rikard Roitto, and Richard E. DeMaris, eds. The Oxford Handbook of Early Christian Ritual. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198747871.001.0001.
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Scholars of religion have long assumed that ritual and belief constitute the fundamental building blocks of religious traditions and that these two components of religion are interrelated and interdependent in significant ways. Generations of New Testament and early Christian scholars have produced detailed analyses of the belief systems of nascent Christian communities, including their ideological and political dimensions, but have by and large ignored ritual as an important element of early Christian religion and as a factor contributing to the rise and the organization of the movement. In recent years, however, scholars of early Christianity have begun to use ritual as an analytical tool for describing and explaining Christian origins and the early history of the movement. Such a development has created a momentum towards producing a more comprehensive volume on the ritual world of early Christianity employing advances made in the field of Ritual Studies. The Handbook will give a manifold account of the ritual world of early Christianity from the beginning of the movement up to the fifth century. The volume introduces relevant theories and approaches (Part I), central topics of ritual life in the cultural world of early Christianity (Part II), and the most important Christian ritual themes and practices in emerging Christian groups and factions (Parts III and IV).
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Münch, Ursula, and Andreas Kalina, eds. Demokratie im 21. Jahrhundert. Nomos Verlagsgesellschaft mbH & Co. KG, 2020. http://dx.doi.org/10.5771/9783748921509.
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Whereas democracy still seemed to be triumphantly sweeping the world before the turn of the century, today it finds itself under immense pressure, not only as a viable political system, but also as a theoretical and normative concept. The coronavirus crisis has underlined and accelerated these developments. There are manifold reasons for this, above all the fundamental changes the state and society have undergone in the face of globalisation, digitalisation, migration, climate change and not least the current pandemic, to name the most significant of them. This volume analyses the changes to democracy in the 21st century and the crises it has experienced. In doing so, the book identifies where action is needed, on the one hand, and investigates appropriate, up-to-date reforms and the prospects for politics, political communication and political education, on the other. With contributions by Ulrich von Alemann, Bernd Becker, Frank Brettschneider, Frank Decker, Claudio Franzius, Georg Paul Hefty, Andreas Kalina, Helmut Klages, Uwe Kranenpohl, Pola Lehmann, Linus Leiten, Dirk Lüddecke, Thomas Metz, Ursula Münch, Ursula Alexandra Ohliger, Veronika Ohliger, Rainer-Olaf Schultze, Peter Seyferth, Hans Vorländer, Uwe Wagschal, Thomas Waldvogel and Samuel Weishaupt
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Adler, Eric. The Battle of the Classics. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780197518786.001.0001.
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The Battle of the Classics criticizes contemporary apologetics for the humanities and presents a historically informed case for a decidedly different approach to rescuing the humanistic disciplines in American higher education. It uses the so-called Battle of the Classics of the late nineteenth and early twentieth centuries as a springboard for crafting a novel foundation for the humanistic tradition. The book argues that current defences of the humanities rely on the humanistic disciplines as inculcators of certain poorly defined skills such as “critical thinking.” It finds fault with this conventional approach, arguing that humanists cannot hope to save their disciplines without arguing in favor of particular humanities content. As the lackluster defenses of the classical humanities in the late nineteenth century help prove, instrumental apologetics are bound to fail. All the same, the book shows that proponents of the Great Books favor a curriculum that is too intellectually narrow for the twenty-first century. The Battle of the Classics thus lays out a substance-based approach to undergraduate education that will revive the humanities while steering clear of overreliance on the Western canon. The book envisions a global humanities based on the examination of masterworks from manifold cultures as the heart of an intellectually and morally sound education.
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Hahn, Thomas, ed. A Cultural History of Race in the Middle Ages. Bloomsbury Publishing Plc, 2022. http://dx.doi.org/10.5040/9781350067448.
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This volume presents a comprehensive and collaborative survey of how people, individually and within collective entities, thought about, experienced, and enacted racializing differences. Addressing events, texts, and images from the 5th to the 16th centuries, these essays by ten eminent scholars provide broad, multi-disciplinary analyses of materials whose origins range from the British Isles, Western Iberia, and North Africa across Western and Eastern Europe to the Middle East. These diverse communities possessed no single word equivalent to modern race, a term (raza) for genetic, religious, cultural, or territorial difference that emerges only at the end of the medieval period. Chapter by chapter, this volume nonetheless demonstrates the manifold beliefs, practices, institutions, and images that conveyed and enforced difference for the benefit of particular groups and to the detriment of others. Addressing the varying historiographical self-consciousness concerning race among medievalist scholars themselves, the separate analyses make use of paradigms drawn from social and political history, religious, environmental, literary, ethnic, and gender studies, the history of art and of science, and critical race theory. Chapters identify the eruption of racial discourses aroused by political or religious polemic, centered upon conversion within and among Jewish, Christian, and Islamic communions, and inspired by imagined or sustained contact with alien peoples. Authors draw their evidence from Hebrew, Latin, Arabic, and a profusion of European vernaculars, and provide searching examination of visual artifacts ranging from religious service books to maps, mosaics, and manuscript illuminations.
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Hagemann, Hannah-Lena. The Kharijites in Early Islamic Historical Tradition. Edinburgh University Press, 2021. http://dx.doi.org/10.3366/edinburgh/9781474450881.001.0001.
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The Khārijites are perhaps the most notorious rebels of early Islamic history. The Islamic tradition portrays them as a heretical movement of militant zealots, a notion largely reiterated by modern scholarship on this phenomenon, which is both surprisingly scarce and largely concerned with historical Khārijism ‘as it really was’. In contrast, this book provides the first comprehensive literary analysis of the early years of Khārijite history (c657-705 CE) as depicted in 9th- and 10th-century CE Islamic historiography. It purposefully moves away from positivist reconstructions and instead examines the narrative role and function of Khārijism in early Islamic historical writing. Two main arguments are advanced: first, that there is little narrative substance to the Khārijites as they are described in the selected sources; and second, that Islamic historiography does not approach Khārijism as an end in itself, but as a tool with which to discuss other issues. By exploring the manifold purposes of telling stories about these so-called heretics and rebels, the book thus provides a fresh perspective on early Khārijism and contributes to the study of how historical memory was created in the early Islamic period. Above all, the analysis highlights the need for a serious reassessment of the historical phenomenon of Khārijism as it is currently understood in scholarship.
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Petersson, Sonya, Christer Johansson, Magdalena Holdar, and Sara Callahan, eds. The Power of the In-Between: Intermediality as a Tool for Aesthetic Analysis and Critical Reflection. Stockholm University Press, 2018. http://dx.doi.org/10.16993/baq.
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The Power of the In-Between: Intermediality as a Tool for Aesthetic Analysis and Critical Reflection gathers fourteen individual case studies where intermedial issues—issues concerning that which takes place in between media—are explored in relation to a range of different cultural objects and contexts, different methodological approaches, and different disciplinary perspectives. The cases investigate the intermediality of such manifold objects and phenomena as contemporary installation art, twentieth-century geography books, renaissance sculpture, media theory, and public architecture of the 1970s. They also bring together scholars from the disciplines of art history, comparative literature, theatre studies, musicology, and the history of ideas.Starting out from an inclusive understanding of intermediality as “relations between media conventionally perceived as different,” each author specifies and investigates “intermediality” in their own particular case; that is, each examines how it is inflected by particular objects, methods, and research questions. “Intermediality” thus serves both as a concept employed to cover an inclusive range of cultural objects, cultural contexts, methodological approaches, and so on, and as a concept to be modelled out by the particular cases it is brought to bear on. Rather than merely applying a predefined concept, the objectives are experimental. The authors explore the concept of intermediality as a malleable tool of research.This volume further makes a point of transgressing the divide between media history and semiotically and/or aesthetically oriented intermedial studies. The former concerns the specificity of media technologies and media interrelations in socially, politically, and epistemologically defined space and time, and the latter targets formal considerations of media objects and its various meaning-making elements. These two conventionally separated fields of research are integrated in order to produce a richer understanding of the analytical and historical, as well as the aesthetic and technological, conditions and possibilities of intermedial phenomena.
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Wolf, Christof. Voters and Voting in Context. Edited by Harald Schoen, Sigrid Roßteutscher, Rüdiger Schmitt-Beck, and Bernhard Weßels. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198792130.001.0001.
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This book investigates the role of context in affecting political opinion formation and voting behavior. Building on a model of contextual effects on individual-level voter behavior, the chapters of this volume explore contextual effects in Germany in the early twenty-first century. The contributions draw on manifold combinations of individual and contextual information gathered in the German Longitudinal Election Study (GLES) framework and employ advanced methods. In substantive terms, they investigate the impact of campaign communication on political learning, the effects of media coverage on the perceived importance of political problems, and the role of electoral competition on candidate strategies and perceptions. Other contributions deal with the role of social and economic contexts as well as parties’ policy stances in affecting electoral turnout. The chapters on vote choice explore the impact of social cues on candidate voting, effects of electoral arenas on vote functions, the role of media coverage on ideological voting, and effects of campaign communication on the timing of electoral decision-making. The volume demonstrates the key role of the processes of communication and politicization in bringing about contextual effects. Context thus plays a nuanced role in voting behavior. The contingency of contextual effects suggests that they should become an important topic in research on political behavior and democratic politics.
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Barrett, Chris. Early Modern English Literature and the Poetics of Cartographic Anxiety. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198816874.001.0001.
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Though the Renaissance map—made newly accurate and newly ubiquitous by the Cartographic Revolution—delighted, inspired, and fascinated, it also unsettled, upset, and disturbed sixteenth- and seventeenth-century readers. Early Modern English Literature and the Poetics of Cartographic Anxiety is the first monograph to demonstrate how early modern anxieties about maps and map logics accompanied an early modern poetics of representational crisis. The book first considers the manifold ways that the cartographic provoked suspicion, unease, and even hostility in early modern Britain, and it highlights literature’s sensitivity to the map’s representational deceptions and politically menacing implications. Second, it explores how Renaissance English literature, and specifically epic poetry, mounted a sustained critique of cartographic materials, of their strategies of representation, and of their often realpolitik, strategically distortive uses. In considering the ways epic poetry channels anxieties about cartographic technologies into a critique of early modern literature’s own protocols of representation, the bookpursues an early modern poetics of anxiety, one that productively complicates concepts of allegory, description, personification, bibliographic materiality, narrative, temporality, analogy and other elements of literary representation. Early Modern English Literature and the Poetics of Cartographic Anxiety reads three major poems of the period—Spenser’s The Faerie Queene (1590, 1596), Drayton’s Poly-Olbion (1612, 1622), and Milton’s Paradise Lost (1667, 1674)—in terms of their vexed and vexing relationships with cartographic materials, and shows how the productive protest staged by these texts inflects early modern and contemporary accounts of representation itself.
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Voisin, Claire. Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691160504.001.0001.
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This book provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The book is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by the author. It focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by the author looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others.