Results 31 to 40 of about 112,965 (264)
Equivariant Seiberg–Witten–Floer cohomology [PDF]
Algebraic & Geometric Topology, 2021 We develop an equivariant version of Seiberg-Witten-Floer cohomology for finite group actions on rational homology $3$-spheres. Our construction is based on an equivariant version of the Seiberg-Witten-Floer stable homotopy type, as constructed by ...
David Baraglia, Pedram Hekmati
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3d $\mathcal{N}=4$ Gauge Theories on an Elliptic Curve
SciPost Physics, 2022 This paper studies $3d$ $\mathcal{N}=4$ supersymmetric gauge theories on an elliptic curve, with the aim to provide a physical realisation of recent constructions in equivariant elliptic cohomology of symplectic resolutions.
Mathew Bullimore, Daniel Zhang
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Syzygies in equivariant cohomology in positive characteristic [PDF]
, 2020 We develop a theory of syzygies in equivariant cohomology for tori as well as p-tori and coefficients in 𝔽p{\mathbb{F}_{p}}. A noteworthy feature is a new algebraic approach to the partial exactness of the Atiyah–Bredon sequence, which also covers all ...
C. Allday, M. Franz, V. Puppe
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Superconformal quantum mechanics and growth of sheaf cohomology
Journal of High Energy Physics, 2023 We give a geometric interpretation for superconformal quantum mechanics defined on a hyper-Kähler cone which has an equivariant symplectic resolution. BPS states are identified with certain twisted Dolbeault cohomology classes on the resolved space and ...
Nick Dorey, Boan Zhao
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Left Demazure–Lusztig Operators on Equivariant (Quantum) Cohomology and K-Theory [PDF]
International mathematics research notices, 2020 We study the Demazure–Lusztig operators induced by the left multiplication on partial flag manifolds $G/P$. We prove that they generate the Chern–Schwartz–MacPherson classes of Schubert cells (in equivariant cohomology), respectively their motivic ...
L. Mihalcea, H. Naruse, C. Su
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Flag Bott manifolds of general Lie type and their equivariant cohomology rings [PDF]
Homology, Homotopy and Applications, 2019 In this article we introduce flag Bott manifolds of general Lie type as the total spaces of iterated flag bundles. They generalize the notion of flag Bott manifolds and generalized Bott manifolds, and admit nice torus actions.
S. Kaji, S. Kuroki, Eunjeong Lee, D. Suh
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Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation. [PDF]
Entropy (Basel), 2020 In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to
Barbaresco F.
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Pieri rule for the affine flag variety [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We prove the affine Pieri rule for the cohomology of the affine flag variety conjectured by Lam, Lapointe, Morse and Shimozono. We study the cap operator on the affine nilHecke ring that is motivated by Kostant and Kumar’s work on the equivariant ...
Seung Jin Lee
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On Schubert calculus in elliptic cohomology [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 An important combinatorial result in equivariant cohomology and $K$-theory Schubert calculus is represented by the formulas of Billey and Graham-Willems for the localization of Schubert classes at torus fixed points.
Cristian Lenart, Kirill Zainoulline
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The equivariant cohomology ring of a cohomogeneity-one action [PDF]
Geometriae Dedicata, 2018 We compute the rational Borel equivariant cohomology ring of a cohomogeneity-one action of a compact Lie group.
J. Carlson +3 more
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