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Journal articles on the topic 'Donaldson theory'

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Published: 14 March 2023

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1

Hsieh, Nien-hê. "The Social Contract Model of Corporate Purpose and Responsibility." Business Ethics Quarterly 25, no. 04 (October 2015): 433–60. http://dx.doi.org/10.1017/beq.2016.1.

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ABSTRACT:Of the many developments in business ethics that Thomas Donaldson has helped pioneer, one is the application of social contract theory to address questions about the responsibilities of business actors. InCorporations and Morality, Donaldson develops one of the most sustained and comprehensive accounts that aims to justify the existence of for-profit corporations and to specify and ground their responsibilities. In order to further our understanding about the purpose and responsibilities of productive organizations, and as a contribution to the scholarship on Donaldson’s thought, this paper gathers together the critical responses to Donaldson’s account along with Donaldson’s replies to his critics. The paper argues that we would do well to continue engaging with Donaldson’s account because of its distinctive and challenging conception of the purpose and responsibilities of productive organizations, but that many of the insights to be gained come from reframing the role played by social contract theory.

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2

Maulik, D., N. Nekrasov, A. Okounkov, and R. Pandharipande. "Gromov–Witten theory and Donaldson–Thomas theory, I." Compositio Mathematica 142, no. 05 (September 2006): 1263–85. http://dx.doi.org/10.1112/s0010437x06002302.

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3

Maulik, D., N. Nekrasov, A. Okounkov, and R. Pandharipande. "Gromov–Witten theory and Donaldson–Thomas theory, II." Compositio Mathematica 142, no. 05 (September 2006): 1286–304. http://dx.doi.org/10.1112/s0010437x06002314.

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4

Gholampour, Amin, Artan Sheshmani, and Shing-Tung Yau. "Localized Donaldson-Thomas theory of surfaces." American Journal of Mathematics 142, no. 2 (2020): 405–42. http://dx.doi.org/10.1353/ajm.2020.0011.

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5

Maulik, Davesh, and Alexei Oblomkov. "Donaldson–Thomas theory of 𝒜n×P1." Compositio Mathematica 145, no. 5 (August 18, 2009): 1249–76. http://dx.doi.org/10.1112/s0010437x09003972.

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AbstractWe study the relative Donaldson–Thomas theory of 𝒜n×P1, where 𝒜n is the surface resolution of type An singularity. The action of divisor operators in the theory is expressed in terms of operators of the affine algebra $\glh $ on Fock space. Assuming a nondegeneracy conjecture, this gives a complete solution for the theory. The results complete the comparison of this theory with the Gromov–Witten theory of 𝒜n×P1 and the quantum cohomology of the Hilbert scheme of points on 𝒜n.

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6

Lyakhovich, S. L., and A. A. Sharapov. "Quantization of Donaldson–Uhlenbeck–Yau theory." Physics Letters B 656, no. 4-5 (November 2007): 265–71. http://dx.doi.org/10.1016/j.physletb.2007.09.029.

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7

Nagao, Kentaro. "Donaldson–Thomas theory and cluster algebras." Duke Mathematical Journal 162, no. 7 (May 2013): 1313–67. http://dx.doi.org/10.1215/00127094-2142753.

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8

Okounkov, Andrei. "Takagi Lectures on Donaldson–Thomas theory." Japanese Journal of Mathematics 14, no. 1 (February 18, 2019): 67–133. http://dx.doi.org/10.1007/s11537-018-1744-8.

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9

Harvey, Jeffrey A., and Andrew Strominger. "String theory and the Donaldson polynomial." Communications in Mathematical Physics 151, no. 2 (January 1993): 221–32. http://dx.doi.org/10.1007/bf02096766.

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10

Lunney, Daniel. "Can a critical reading of Zoopolis by Donaldson and Kymlicka lead to advocating dialogue between animal rights theorists and zoologists?" Pacific Conservation Biology 25, no. 1 (2019): 72. http://dx.doi.org/10.1071/pc17052.

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This essay is a zoologist’s response to Zoopolis. A political theory of animal rights by Donaldson and Kymlicka (2011). What drew me to look at their new approach was that geography played a part in conceptualising animal communities and, in particular, the specific focus on wild animals and urban wildlife. To oversimplify, Donaldson and Kymlicka say, much of the debate operates within one of three basic moral frameworks: a welfarist, an ecological and a basic rights approach, but none has proved capable of fundamental change. That change will only be possible, they consider, if we can develop a new moral framework that connects the treatment of animals more directly to the fundamental principles of liberal–democratic justice and human rights. A major point of agreement between zoologists and Donaldson’s and Kymlicka’s views is that animals deserve more than being over-ridden at every encounter with human interests. A major stalling point in advocating a dialogue between animal rights theorists and zoologists is where Donaldson and Kymlicka accept the animal rights position at the outset, rather than letting their thesis play out to see what their position might be for each geographic zone and for each species. Also, it is clear that Donaldson’s and Kymlicka’s starting point is the traditional animal rights agenda, which rules out animal research as morally illegitimate. The conservation of Australia’s fauna could not survive in that regime. Consequently, I cannot advocate dialogue between animal rights theorists and zoologists from a critical reading of Zoopolis.

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11

Lawton, David. "Donaldson and Irony." Chaucer Review 41, no. 3 (January 1, 2007): 231–39. http://dx.doi.org/10.2307/25094360.

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12

Lawton, David. "Donaldson and Irony." Chaucer Review 41, no. 3 (2007): 231–39. http://dx.doi.org/10.1353/cr.2007.0008.

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13

Harvey, Melanee C. "Jeff Donaldson." Callaloo 40, no. 5 (2017): 19–28. http://dx.doi.org/10.1353/cal.2017.0151.

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14

Kinjo, Tasuki. "Dimensional reduction in cohomological Donaldson–Thomas theory." Compositio Mathematica 158, no. 1 (January 2022): 123–67. http://dx.doi.org/10.1112/s0010437x21007740.

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For oriented $-1$-shifted symplectic derived Artin stacks, Ben-Bassat, Brav, Bussi and Joyce introduced certain perverse sheaves on them which can be regarded as sheaf-theoretic categorifications of the Donaldson–Thomas invariants. In this paper, we prove that the hypercohomology of the above perverse sheaf on the $-1$-shifted cotangent stack over a quasi-smooth derived Artin stack is isomorphic to the Borel–Moore homology of the base stack up to a certain shift of degree. This is a global version of the dimensional reduction theorem due to Davison. We give two applications of our main theorem. Firstly, we apply it to the study of the cohomological Donaldson–Thomas invariants for local surfaces. Secondly, regarding our main theorem as a version of the Thom isomorphism theorem for dual obstruction cones, we propose a sheaf-theoretic construction of the virtual fundamental classes for quasi-smooth derived Artin stacks.

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15

VAJIAC, ADRIAN. "EQUIVARIANT LOCALIZATION TECHNIQUES IN TOPOLOGICAL QUANTUM FIELD THEORIES." International Journal of Geometric Methods in Modern Physics 07, no. 02 (March 2010): 247–66. http://dx.doi.org/10.1142/s0219887810004038.

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This paper proposes a different approach to derive Witten's formula relating Donaldson and Seiberg–Witten invariants for four-manifolds, via equivariant localization techniques. Our approach proposes a direct study on the Donaldson–Witten and Seiberg–Witten configuration spaces, not making use the theory of non-abelian monopoles.

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16

Jun, Li. "Toward an algebraic Donaldson-Floer theory (survey)." SCIENTIA SINICA Mathematica 48, no. 6 (April 20, 2018): 785. http://dx.doi.org/10.1360/n012017-00267.

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17

Acharya, B. S., M. O'Loughlin, and B. Spence. "Higher-dimensional analogues of Donaldson-Witten theory." Nuclear Physics B 503, no. 3 (October 1997): 657–74. http://dx.doi.org/10.1016/s0550-3213(97)00515-4.

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18

Cirafici, Michele, Annamaria Sinkovics, and Richard J. Szabo. "Instantons, quivers and noncommutative Donaldson–Thomas theory." Nuclear Physics B 853, no. 2 (December 2011): 508–605. http://dx.doi.org/10.1016/j.nuclphysb.2011.08.002.

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19

Bridgeland, Tom. "Riemann–Hilbert problems from Donaldson–Thomas theory." Inventiones mathematicae 216, no. 1 (December 14, 2018): 69–124. http://dx.doi.org/10.1007/s00222-018-0843-8.

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20

Austin, David M., and Peter J. Braam. "Equivariant Floer theory and gluing Donaldson polynomials." Topology 35, no. 1 (January 1996): 167–200. http://dx.doi.org/10.1016/0040-9383(95)00004-6.

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21

Joyce, Dominic, and Yinan Song. "A theory of generalized Donaldson–Thomas invariants." Memoirs of the American Mathematical Society 217, no. 1020 (2012): 0. http://dx.doi.org/10.1090/s0065-9266-2011-00630-1.

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22

Meinhardt, Sven. "An Introduction to (Motivic) Donaldson-Thomas Theory." Confluentes Mathematici 9, no. 2 (December 13, 2017): 101–58. http://dx.doi.org/10.5802/cml.43.

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23

Wang, Shuguang. "A higher dimensional foliated Donaldson theory, I." Asian Journal of Mathematics 19, no. 3 (2015): 527–54. http://dx.doi.org/10.4310/ajm.2015.v19.n3.a6.

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24

Okounkov, A., and R. Pandharipande. "The local Donaldson–Thomas theory of curves." Geometry & Topology 14, no. 3 (June 18, 2010): 1503–67. http://dx.doi.org/10.2140/gt.2010.14.1503.

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25

IGA, KEVIN. "WHAT DO TOPOLOGISTS WANT FROM SEIBERG–WITTEN THEORY?" International Journal of Modern Physics A 17, no. 30 (December 10, 2002): 4463–514. http://dx.doi.org/10.1142/s0217751x0201217x.

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In 1983, Donaldson shocked the topology world by using instantons from physics to prove new theorems about four-dimensional manifolds, and he developed new topological invariants. In 1988, Witten showed how these invariants could be obtained by correlation functions for a twisted N = 2 SUSY gauge theory. In 1994, Seiberg and Witten discovered dualities for such theories, and in particular, developed a new way of looking at four-dimensional manifolds that turns out to be easier, and is conjectured to be equivalent to, Donaldson theory. This review describes the development of this mathematical subject, and shows how the physics played a pivotal role in the current understanding of this area of topology.

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26

Kirk, Elizabeth D. "Donaldson Teaching and Learning." Chaucer Review 41, no. 3 (January 1, 2007): 279–88. http://dx.doi.org/10.2307/25094365.

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27

Kirk, Elizabeth D. "Donaldson Teaching and Learning." Chaucer Review 41, no. 3 (2007): 279–88. http://dx.doi.org/10.1353/cr.2007.0007.

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28

Cirafici, Michele, Annamaria Sinkovics, and Richard J. Szabo. "Cohomological gauge theory, quiver matrix models and Donaldson–Thomas theory." Nuclear Physics B 809, no. 3 (March 2009): 452–518. http://dx.doi.org/10.1016/j.nuclphysb.2008.09.024.

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29

DEGUCHI, SHINICHI. "SUPERFIELD FORMALISM OF TOPOLOGICAL YANG-MILLS THEORY." Modern Physics Letters A 04, no. 27 (December 20, 1989): 2625–33. http://dx.doi.org/10.1142/s0217732389002938.

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Fields and their BRST transformations in the topological Yang-Mills theory are derived systematically using Bonora-Tonin’s superfield formalism. Anti-BRST transformations of the fields is also obtained. The differential forms which generate the Donaldson invariants and their recursive relations are natural consequences of the superfield formalism.

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30

Lisca, Paolo. "Computations of instanton invariants using Donaldson-Floer Theory." Inventiones Mathematicae 119, no. 1 (December 1995): 347–59. http://dx.doi.org/10.1007/bf01245186.

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31

Moore, Gregory, and Edward Witten. "Integration over the $u$-plane in Donaldson theory." Advances in Theoretical and Mathematical Physics 1, no. 2 (1997): 298–387. http://dx.doi.org/10.4310/atmp.1997.v1.n2.a7.

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32

Nagao, Kentaro. "Non-commutative Donaldson–Thomas theory and vertex operators." Geometry & Topology 15, no. 3 (August 3, 2011): 1509–43. http://dx.doi.org/10.2140/gt.2011.15.1509.

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33

Korpas, Georgios, Jan Manschot, Gregory W. Moore, and Iurii Nidaiev. "Renormalization and BRST Symmetry in Donaldson–Witten Theory." Annales Henri Poincaré 20, no. 10 (August 8, 2019): 3229–64. http://dx.doi.org/10.1007/s00023-019-00835-x.

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34

Calton, Jerry M., and Lawrence J. Lad. "Social Contracting as a Trust-Building Process of Network Governance." Business Ethics Quarterly 5, no. 2 (April 1995): 271–95. http://dx.doi.org/10.2307/3857357.

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Abstract:Social contracting has a long and important place in the history of political philosophy (Hardin, 1991; Waldron, 1989) and as a theory of justice (Baynes, 1989; Rawls, 1971). More recently, it has been developed into an individual rights-based theory of organizations (Keeley, 1980, 1988), and as a way to integrate ethics and moral legitimacy into corporate strategy and action (Donaldson, 1982; Freeman & Gilbert, 1988). Currently, it is being proposed as an integrative theory of economic ethics (Donaldson & Dunfee, forthcoming). This paper will extend the Donaldson and Dunfee approach by arguing that social contracting can best be understood and applied in organizational settings if it is perceived and treated as a network governance process. This insight can benefit management scholars and practitioners alike, since it calls attention to the processes by which trust is created and sustained in on-going contractual relationships. It also strongly suggests that a new approach to applying managerial discretion, as moral agency, is needed to realize the full competitive and ethical potential of emerging network forms.

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35

Mayer, Don, and Anita Cava. "Social Contract Theory and Gender Discrimination: Some Reflections on the Donaldson/Dunfee Model." Business Ethics Quarterly 5, no. 2 (April 1995): 257–70. http://dx.doi.org/10.2307/3857356.

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Abstract:This paper relates Donaldson and Dunfee’s Integrative Social Contracts Theory to the problem of gender discrimination. We make the assumption that multinational managers might seek some guidance from ISCT to resolve ethical issues of gender discrimination in countries indifferent or hostile to gender equality. The role of Donaldson and Dunfee’s “hypernorms” seems especially crucial, and we find that, under their writings thus far, no “hypernorms” exist to make unethical the most blatant acts of sex discrimination in a host country whose local norms tolerate such discrimination. The genesis of “hypernorms” as “global moral minimums” is recounted, and specific application of ISCT to a familiar ethics case (“A Foreign Assignment”) is provided.

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36

Codogni, Giulio. "Tits Buildings and K-Stability." Proceedings of the Edinburgh Mathematical Society 62, no. 3 (January 30, 2019): 799–815. http://dx.doi.org/10.1017/s0013091518000512.

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AbstractA polarized variety is K-stable if, for any test configuration, the Donaldson–Futaki invariant is positive. In this paper, inspired by classical geometric invariant theory, we describe the space of test configurations as a limit of a direct system of Tits buildings. We show that the Donaldson–Futaki invariant, conveniently normalized, is a continuous function on this space. We also introduce a pseudo-metric on the space of test configurations. Recall that K-stability can be enhanced by requiring that the Donaldson–Futaki invariant is positive on any admissible filtration of the co-ordinate ring. We show that admissible filtrations give rise to Cauchy sequences of test configurations with respect to the above mentioned pseudo-metric.

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37

Meinhardt, Sven, and Markus Reineke. "Donaldson–Thomas invariants versus intersection cohomology of quiver moduli." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 754 (September 1, 2019): 143–78. http://dx.doi.org/10.1515/crelle-2017-0010.

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Abstract The main result of this paper is the statement that the Hodge theoretic Donaldson–Thomas invariant for a quiver with zero potential and a generic stability condition agrees with the compactly supported intersection cohomology of the closure of the stable locus inside the associated coarse moduli space of semistable quiver representations. In fact, we prove an even stronger result relating the Donaldson–Thomas “function” to the intersection complex. The proof of our main result relies on a relative version of the integrality conjecture in Donaldson–Thomas theory. This will be the topic of the second part of the paper, where the relative integrality conjecture will be proven in the motivic context.

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38

Borroff, Marie. "Donaldson and the Romantic Poets." Chaucer Review 41, no. 3 (January 1, 2007): 225–30. http://dx.doi.org/10.2307/25094359.

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39

Borroff, Marie. "Donaldson and the Romantic Poets." Chaucer Review 41, no. 3 (2007): 225–30. http://dx.doi.org/10.1353/cr.2007.0001.

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40

Pangarso, Astadi, Endang Siti Astuti, Kusdi Raharjo, and Tri Wulida Afrianty. "A New Theoretical Framework of Organizational Effectiveness from Knowledge and Ambidexterity Perspectives." 11th GLOBAL CONFERENCE ON BUSINESS AND SOCIAL SCIENCES 11, no. 1 (December 9, 2020): 3. http://dx.doi.org/10.35609/gcbssproceeding.2020.11(3).

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This paper aims to build a new theoretical framework related to organizational effectiveness. There is unfortunately no research which builds a theoretical framework of organizational effectiveness influenced by knowledge of infrastructure capability, organizational environment, absorptive capacity and innovative ambidexterity. The theoretical framework is built from the past research of the organizational effectiveness antecedents using literature review. The theoretical framework in this concept paper consists of nine hypotheses with three novelties: the direct relationship among knowledge infrastructure capability; absorptive capacity; and organizational environment to innovative ambidexterity. This conceptual paper only applies structural contingency theory, knowledge-based theory and absorptive capacity theory in constructing relationships among concepts. It is hoped that this newly constructed theoretical framework can enrich the theory of modern organization as stated by Miles (2012) and by Hatch, MJ, & Cunliffe (2013) which can develop structural contingency theory (Donaldson, 1996) (Donaldson, 2001) through the concept of organizational effectiveness (Kim S. Cameron, 1981). It is also influenced by knowledge of infrastructure capability (Gold, Malhotra and Segars, 2001), organizational environment (Donaldson, 2001), absorptive capacity (Cohen and Levinthal, 1990) and organizational ambidexterity (Tushman and O'Reilly, 1996) (Kortmann, 2011). This theoretical framework can be applied as a basis for empirical research. Keywords: knowledge infrastructure capability; organizational environment; absorptive capacity; innovative ambidexterity; organizational effectiveness.

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41

Sheshmani, Artan. "Hilbert schemes, Donaldson–Thomas theory, Vafa–Witten and Seiberg–Witten theory." Notices of the International Congress of Chinese Mathematicians 7, no. 2 (2019): 25–31. http://dx.doi.org/10.4310/iccm.2019.v7.n2.a3.

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42

OLSEN, KASPER. "DIMENSIONAL REDUCTION OF DUAL TOPOLOGICAL THEORIES." Modern Physics Letters A 11, no. 22 (July 20, 1996): 1777–84. http://dx.doi.org/10.1142/s0217732396001764.

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We describe the reduction from four to two dimensions of the SU(2) Donaldson–Witten theory and the dual twisted Seiberg–Witten theory, i.e. the Abelian topological field theory corresponding to the Seiberg–Witten monopole equations.

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43

Leigh, Oliver. "UNWEIGHTED DONALDSON–THOMAS THEORY OF THE BANANA 3-FOLD WITH SECTION CLASSES." Quarterly Journal of Mathematics 71, no. 3 (June 8, 2020): 867–942. http://dx.doi.org/10.1093/qmathj/haaa007.

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Abstract We further the study of the Donaldson–Thomas theory of the banana 3-folds which were recently discovered and studied by Bryan [3]. These are smooth proper Calabi–Yau 3-folds which are fibred by Abelian surfaces such that the singular locus of a singular fibre is a non-normal toric curve known as a ‘banana configuration’. In [3], the Donaldson–Thomas partition function for the rank 3 sub-lattice generated by the banana configurations is calculated. In this article, we provide calculations with a view towards the rank 4 sub-lattice generated by a section and the banana configurations. We relate the findings to the Pandharipande–Thomas theory for a rational elliptic surface and present new Gopakumar–Vafa invariants for the banana 3-fold.

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44

Szabo, Richard J., and Miguel Tierz. "Matrix models and stochastic growth in Donaldson-Thomas theory." Journal of Mathematical Physics 53, no. 10 (October 2012): 103502. http://dx.doi.org/10.1063/1.4748525.

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45

Ross, Dustin. "Donaldson–Thomas theory and resolutions of toric A-singularities." Selecta Mathematica 23, no. 1 (March 25, 2016): 15–37. http://dx.doi.org/10.1007/s00029-016-0234-1.

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46

Edelstein, Jose D., Marta Gómez-Reino, and Marcos Mariño. "Blowup formulae in Donaldson–Witten theory and integrable hierarchies." Advances in Theoretical and Mathematical Physics 4, no. 3 (2000): 503–43. http://dx.doi.org/10.4310/atmp.2000.v4.n3.a1.

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47

Cirafici, Michele. "Defects in cohomological gauge theory and Donaldson–Thomas invariants." Advances in Theoretical and Mathematical Physics 20, no. 5 (2016): 945–1006. http://dx.doi.org/10.4310/atmp.2016.v20.n5.a1.

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48

Cao, Yalong, and Naichung Conan Leung. "Relative Donaldson-Thomas theory for Calabi-Yau 4-folds." Transactions of the American Mathematical Society 369, no. 9 (May 11, 2017): 6631–59. http://dx.doi.org/10.1090/tran/7002.

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49

Aldrich, Howard. "Paradigm Warriors: Donaldson versus the Critics of Organization Theory." Organization Studies 9, no. 1 (January 1988): 19–25. http://dx.doi.org/10.1177/017084068800900106.

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50

Wandel, Malte. "Moduli spaces of semistable pairs in Donaldson–Thomas theory." Manuscripta Mathematica 147, no. 3-4 (January 25, 2015): 477–500. http://dx.doi.org/10.1007/s00229-015-0729-7.

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