Livres : « Donaldson theory »

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Toda, Yukinobu. Recent Progress on the Donaldson–Thomas Theory. Singapore : Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7838-7.

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1977-, Song Yinan, dir. A theory of generalized Donaldson-Thomas invariants. Providence, R.I : American Mathematical Society, 2011.

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Zhou, Zijun. Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula. [New York, N.Y.?] : [publisher not identified], 2017.

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Morgan, John W. The L²-moduli space and a vanishing theorem for Donaldson polynomial invariants. Cambridge, MA : International Press, 1994.

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Donaldson type invariants for algebraic surfaces : Transition of moduli stacks. Berlin : Springer, 2009.

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6

(Dietmar), Salamon D., dir. J-holomorphic curves and symplectic topology. 2^e éd. Providence, R.I : American Mathematical Society, 2012.

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7

Feehan, Paul, et Thomas G. Leness. SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants. American Mathematical Society, 2019.

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8

Toda, Yukinobu. Recent Progress on the Donaldson-Thomas Theory : Wall-Crossing and Refined Invariants. Springer Singapore Pte. Limited, 2022.

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9

Behrens, Stefan, Boldizsar Kalmar, Min Hoon Kim, Mark Powell et Arunima Ray, dir. The Disc Embedding Theorem. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198841319.001.0001.

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The disc embedding theorem provides a detailed proof of the eponymous theorem in 4-manifold topology. The theorem, due to Michael Freedman, underpins virtually all of our understanding of 4-manifolds in the topological category. Most famously, this includes the 4-dimensional topological Poincaré conjecture. Combined with the concurrent work of Simon Donaldson, the theorem reveals a remarkable disparity between the topological and smooth categories for 4-manifolds. A thorough exposition of Freedman’s proof of the disc embedding theorem is given, with many new details. A self-contained account of decomposition space theory, a beautiful but outmoded branch of topology that produces non-differentiable homeomorphisms between manifolds, is provided. Techniques from decomposition space theory are used to show that an object produced by an infinite, iterative process, which we call a skyscraper, is homeomorphic to a thickened disc, relative to its boundary. A stand-alone interlude explains the disc embedding theorem’s key role in smoothing theory, the existence of exotic smooth structures on Euclidean space, and all known homeomorphism classifications of 4-manifolds via surgery theory and the s-cobordism theorem. The book is written to be accessible to graduate students working on 4-manifolds, as well as researchers in related areas. It contains over a hundred professionally rendered figures.

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Garner, Robert. The Contemporary Debate in Animal Ethics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199375967.003.0019.

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This final chapter explores the range of ideas current in the contemporary animal ethics debate. Much of the chapter is devoted to documenting the critique of the animal welfare ethic, which holds that, while animals have moral standing, humans, being persons, have a superior moral status. Three different strands of this critique—based on utilitarian, rights, and contractarian approaches—are identified and explored. The final part of the chapter documents the fragmentation of the animal ethics debate in recent years. This has included a more nuanced position which seeks to decouple animal rights from abolitionism, accounts of animal ethics from virtue ethics and capabilities perspectives, and a relational turn associated with the feminist care ethic tradition and, more recently, the utilization of citizenship theory by Donaldson and Kymlicka.

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Donaldson, Ronnie, dir. Human Geographies of Stellenbosch : Transforming Space, Preserving Place ? African Sun Media, 2020. http://dx.doi.org/10.18820/9781928536017.

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Amid a growing ‘turn’ towards Southern cities, South African urban geographers continue to remind us why and how to attend to local context and draw on theory from elsewhere. Human Geographies of Stellenbosch: Transforming Space, Preserving Place? (edited by Ronnie Donaldson) provides a deep look at crucial questions facing one of South Africa’s most well-known town-cities. Written from years of local knowledge by scholars at Stellenbosch University, this volume asks what urban transformation means, who it is for, and the politically tantalising question of whether and how we might hold on to some of the old while aspiring towards the new? In a global context in which we are all searching for how to justly remember our messy past, how to decolonise and hold onto what makes places unique, this volume will be of interest to scholars asking such questions in and beyond urban studies.

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Donaldson, Ronnie, dir. Human Geographies of Stellenbosch : Transforming Space, Preserving Place ? African Sun Media, 2020. http://dx.doi.org/10.18820/9781991201010.

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Amid a growing ‘turn’ towards Southern cities, South African urban geographers continue to remind us why and how to attend to local context and draw on theory from elsewhere. Human Geographies of Stellenbosch: Transforming Space, Preserving Place? (edited by Ronnie Donaldson) provides a deep look at crucial questions facing one of South Africa’s most well-known town-cities. Written from years of local knowledge by scholars at Stellenbosch University, this volume asks what urban transformation means, who it is for, and the politically tantalising question of whether and how we might hold on to some of the old while aspiring towards the new? In a global context in which we are all searching for how to justly remember our messy past, how to decolonise and hold onto what makes places unique, this volume will be of interest to scholars asking such questions in and beyond urban studies.

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Pollack, Howard. The Golden Apple. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190458294.003.0018.

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One of Latouche’s masterpieces, the opera The Golden Apple, with composer Jerome Moross, reimagines the Judgment of Paris story and the Homeric epics through the prism of early-twentieth-century America. Hanya Holm directed, and William and Jean Eckart did the memorable designs. First premiering at the Phoenix Theatre off-Broadway, it moved to Broadway for a short run there. Although more a critical than a popular sucess—it won the Donaldson Award, the Page One Award, and the New York Critics’ Circle Award for the season’s best musical—it remains a favorite among connoisseurs of American musical theater.

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Cochrane, Alasdair. Sovereignty for Animals ? Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789802.003.0005.

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Chapter 5 considers whether, within the proposed sentientist global political order, some groups of wild animals ought to be granted their own political communities. Indeed, Donaldson and Kymlicka have claimed that wild animals ought to be recognized as having sovereignty over their territories. This chapter evaluates this claim and concludes that the best way of protecting the basic rights of wild animals is not through granting them sovereignty, but through recognizing them as equal members of mixed human–animal communities. It then addresses a potential problem with regarding wild animals as equal members of our political communities: that it leads to our having positive duties of assistance to wild animals, requiring us to ‘police nature’. The chapter argues that while we do in fact have positive duties of assistance to wild animals, these do not require or permit immediate massive interventions by humans into nature.

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Surveys on Recent Developments in Algebraic Geometry. American Mathematical Society, 2017.

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Hilbert Schemes of Points and Infinite Dimensional Lie Algebras. American Mathematical Society, 2018.

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