Results 11 to 20 of about 81,882 (247)

The moment map and equivariant cohomology

Topology, 1984
Michael Atiyah, R. Bott
semanticscholar   +4 more sources

Equivariant cohomology of torus orbifolds [PDF]

Canadian Journal of Mathematics, 2018
We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes.
Alastair Darby, S. Kuroki, Jongbaek Song
semanticscholar   +5 more sources

Higher Order Geometric Theory of Information and Heat Based on Poly-Symplectic Geometry of Souriau Lie Groups Thermodynamics and Their Contextures: The Bedrock for Lie Group Machine Learning [PDF]

Entropy, 2018
We introduce poly-symplectic extension of Souriau Lie groups thermodynamics based on higher-order model of statistical physics introduced by Ingarden. This extended model could be used for small data analytics and machine learning on Lie groups.
Frédéric Barbaresco
doaj   +2 more sources

Exercises in equivariant cohomology [PDF]

, 1996
17 pages, LaTeX, also available at http://lapphp0.in2p3.fr/preplapp/psth/ENSLAPP619.ps ...
R. Stora
openalex   +5 more sources

Equivariant elliptic cohomology and rigidity [PDF]

American Journal of Mathematics, 2001
Equivariant elliptic cohomology with complex coefficients was defined axiomatically by Ginzburg, Kapranov and Vasserot and constructed by Grojnowski. We give an invariant definition of complex S 1 -equivariant elliptic cohomology, and use it to give an entirely cohomological proof of the rigidity theorem of Witten for the elliptic genus. We also state
Ioanid Roşu
openalex   +5 more sources

On localization in holomorphic equivariant cohomology [PDF]

Open Mathematics, 2012
16 pages. Completely rewritten, new title. v3: Minor changes in the exposition. v4: final version to appear in Centr. Eur.
Bruzzo Ugo, Rubtsov Vladimir
doaj   +5 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

Pattern-equivariant functions and cohomology [PDF]

Journal of Physics A: Mathematical and General, 2003
8 pages including 2 ...
Johannes Kellendonk
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Puzzles and (equivariant) cohomology of Grassmannians [PDF]

Duke Mathematical Journal, 2003
30 pages, 21 ...
Allen Knutson, Terence Tao
openalex   +6 more sources

On the $RO(G)$-graded coefficients of dihedral equivariant cohomology [PDF]

Mathematical Research Letters, 2020
We completely calculate the $RO(G)$-graded coefficients of ordinary equivariant cohomology where $G$ is the dihedral group of order $2p$ for a prime $p>2$ both with constant and Burnside ring coefficients.
I. Kríz, Yunze Lu
semanticscholar   +1 more source