Results 21 to 30 of about 81,882 (247)

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
semanticscholar   +1 more source

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
doaj   +1 more source

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
semanticscholar   +1 more source

Equivariant differential cohomology [PDF]

Transactions of the American Mathematical Society, 2018
47 ...
Kübel, Andreas, Thom, Andreas
openaire   +3 more sources

Equivariant K-theory and Equivariant Cohomology

, 1999
20 pages.
Ioanid Roşu, Allen Knutson
openalex   +4 more sources

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
doaj   +1 more source

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
semanticscholar   +1 more source

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
doaj   +1 more source

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
semanticscholar   +1 more source

Chern characters in equivariant basic cohomology

Comptes Rendus. Mathématique, 2021
The purpose of this Note is to establish a geometric realization of the cohomological isomorphism in the case of a transversely oriented Killing foliation on a compact smooth manifold through equivariant basic Chern characters.
Liu, Wenran
doaj   +1 more source