Results 1 to 10 of about 45,480 (208)

Equivariant K-theory and equivariant cohomology [PDF]

Mathematische Zeitschrift, 2003
20 pages.
Ioanid Rosu
exaly   +4 more sources

Torsion and Abelianization in Equivariant Cohomology [PDF]

Transformation Groups, 2008
30 pages.
Tara S Holm, Reyer Sjamaar
exaly   +4 more sources

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, 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
Frédéric Barbaresco
doaj   +2 more sources

A guide to equivariant parametrized cohomology

Topology and Its Applications
This article investigates equivariant parametrized cellular cohomology, a cohomology theory introduced by Costenoble-Waner for spaces with an action by a compact Lie group $G$. The theory extends the $RO(G)$-graded cohomology of a $G$-space $B$ to a cohomology graded by $RO(ΠB)$, the representations of the equivariant fundamental groupoid of $B$.
Clover May, Agnes Beaudry
exaly   +3 more sources

Integral cohomology of quotients via toric geometry [PDF]

Épijournal de Géométrie Algébrique, 2022
We describe the integral cohomology of $X/G$ where $X$ is a compact complex manifold and $G$ a cyclic group of prime order with only isolated fixed points.
Grégoire Menet
doaj   +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

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

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

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
doaj   +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