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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 S^1-equivariant elliptic cohomology, and use it to give an entirely ...
Rosu, Ioanid
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Equivariant Cohomological Chern Characters [PDF]
International Journal of Algebra and Computation, 2004 We construct for an equivariant cohomology theory for proper equivariant CW-complexes an equivariant Chern character, provided that certain conditions about the coefficients are satisfied.
Lueck, Wolfgang
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Stochastic equivariant cohomologies and cyclic cohomology [PDF]
The Annals of Probability, 2005 We give two stochastic diffeologies on the free loop space which allow us to define stochastic equivariant cohomology theories in the Chen-Souriau sense and to establish a link with cyclic cohomology. With the second one, we can establish a stochastic fixed point theorem.
Remi Leandre
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Equivariant K-theory and equivariant cohomology [PDF]
Mathematische Zeitschrift, 2003 20 pages.
Rosu, Ioanid, Knutson, Allen
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Chiral equivariant cohomology II [PDF]
Transactions of the American Mathematical Society, 2008 Final ...
Lian, Bong H. +2 more
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Equivariant bundles and cohomology [PDF]
Transactions of the American Mathematical Society, 1986 Let G G be a topological group, A A an abelian topological group on which G G acts continuously and X X a G G -space. We define "equivariant cohomology groups" of X X with coefficients in A A , H G
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Quantum gravity and equivariant cohomology [PDF]
Nuclear Physics B, 1995 A procedure for obtaining correlation function densities and wavefunctionals for quantum gravity from the Donaldson polynomial invariants of topological quantum field theories, is given. We illustrate how our procedure may be applied to three and four dimensional quantum gravity.
Brooks, Roger, Lifschytz, Gilad
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Equivariant cohomology over Lie groupoids and Lie-Rinehart algebras [PDF]
, 2009 Using the language and terminology of relative homological algebra, in particular that of derived functors, we introduce equivariant cohomology over a general Lie-Rinehart algebra and equivariant de Rham cohomology over a locally trivial Lie groupoid in ...
A. Dold +33 more
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Equivariant differential cohomology
Transactions of the American Mathematical Society, 2018 47 ...
Kübel, Andreas, Thom, Andreas
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Symplectic cohomology and q-intersection numbers [PDF]
, 2012 Given a symplectic cohomology class of degree 1, we define the notion of an equivariant Lagrangian submanifold. The Floer cohomology of equivariant Lagrangian submanifolds has a natural endomorphism, which induces a grading by generalized eigenspaces ...
A. Abbondandolo +25 more
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