Results 111 to 120 of about 3,692,977 (264)
On Ginzburg’s bivariant Chern classes [PDF]
Transactions of the American Mathematical Society, 2003 The convolution product is an important tool in geometric representation theory. Ginzburg constructed the “bivariant" Chern class operation from a certain convolution algebra of Lagrangian cycles to the convolution algebra of Borel-Moore homology. In this paper we prove a “constructible function version" of one of Ginzburg’s results; motivated by its ...
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On uniqueness of solutions to complex Monge–Ampère mean field equations
Bulletin of the London Mathematical Society, EarlyView.Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
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Chern-Simons theory from M5-branes and calibrated M2-branes
Journal of High Energy Physics, 2019 We study a sector of the 5d maximally supersymmetric Yang-Mills theory on S 5 consisting of 1/8-BPS Wilson loop operators contained within a great S 3 inside S 5.
Márk Mezei, Silviu S. Pufu, Yifan Wang
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Toward Kitaev's sixteenfold way in a honeycomb lattice model
Physical Review Research, 2020 Kitaev's sixteenfold way is a classification of exotic topological orders in which Z_{2} gauge theory is coupled to Majorana fermions of Chern number C. The 16 distinct topological orders within this class, depending on Cmod16, possess a rich variety of ...
Shang-Shun Zhang +2 more
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Motivic p$p$‐adic tame cohomology
Bulletin of the London Mathematical Society, EarlyView.Abstract We construct a comparison functor between (A1$\mathbf {A}^1$‐local) tame motives and (□¯${\overline{\square }}$‐local) log‐étale motives over a field k$k$ of positive characteristic. This generalizes Binda–Park–Østvær's comparison for the Nisnevich topology.
Alberto Merici
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On M-theory fourfold vacua with higher curvature terms
Physics Letters B, 2015 We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic in the Riemann curvature, that admit an eight-dimensional compact space.
Thomas W. Grimm +2 more
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A note on Chern-Schwartz-MacPherson class [PDF]
, 2010 This is a note on MacPherson's Chern class for algebraic stacks, based on a previous paper of the author [arXiv:math/0407348]. We also discuss other additive characteristic classes in the same manner.Comment: (v2) Title has been slightly changed; some ...
Ohmoto, Toru
core
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, EarlyView.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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Chern classes of blow-ups [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2009 AbstractWe extend the classical formula of Porteous for blowing-up Chern classes to the case of blow-ups of possibly singular varieties along regularly embedded centers. The proof of this generalization is perhaps conceptually simpler than the standard argument for the nonsingular case, involving Riemann–Roch without denominators.
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