Equivariant cohomology - Open Access .click

, 2023
Equivariant cohomology has become an indispensable tool in algebraic geometry and in related areas including representation theory, combinatorial and enumerative geometry, and algebraic combinatorics.
David Anderson, William Fulton
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Introductory Lectures on Equivariant Cohomology

, 2020
Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been introduced into K-theory and algebraic geometry, but it is in algebraic ...
L. Tu
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Equivariant cohomology of (Z_2)^r - manifolds and syzygies

, 2015
We consider closed manifolds, which occur as intersections of products of spheres of the same dimension with certain hyperplanes. Among those are the so called (big) polygon- and chain spaces. The equivariant cohomology with respect to natural actions of
V. Puppe
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Topics in equivariant cohomology

2017
The equivariant cohomology of a manifold M acted upon by a compact Lie group G is defined to be the singular cohomology groups of the topological space (M × EG)/G. It is well known that the equivariant cohomology of M is parametrised by the Cartan model of equivariant differential forms.
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equivariant map
pure mathematics
algebra over a field

physics
group cohomology
de rham cohomology

combinatorics
geometry
supersymmetric gauge theory