Generalized Equivariant Cohomology and Stratifications
Copyright policy )Generalized Equivariant Cohomology and Stratifications
AbstractFor T a compact torus and a generalized T-equivariant cohomology theory, we provide a systematic framework for computing in the context of equivariantly stratified smooth complex projective varieties. This allows us to explicitly compute as an (pt)-module when X is a direct limit of smooth complex projective Tℂ-varieties. We perform this computation on the affine Grassmannian of a complex semisimple group.
- University of Toronto Canada
Equivariant homology and cohomology in algebraic topology, K-Theory and Homology (math.KT), smooth projective variety, Equivariant fiber spaces and bundles in algebraic topology, equivariant cohomology, Equivariant \(K\)-theory, Equivariant homotopy groups, stratification, 55N20, 55N91, Mathematics - K-Theory and Homology, Equivariant operations and obstructions in algebraic topology, FOS: Mathematics, Algebraic Topology (math.AT), affine Grassmannian, Mathematics - Algebraic Topology, Generalized (extraordinary) homology and cohomology theories in algebraic topology, Equivariant homotopy theory in algebraic topology
Equivariant homology and cohomology in algebraic topology, K-Theory and Homology (math.KT), smooth projective variety, Equivariant fiber spaces and bundles in algebraic topology, equivariant cohomology, Equivariant \(K\)-theory, Equivariant homotopy groups, stratification, 55N20, 55N91, Mathematics - K-Theory and Homology, Equivariant operations and obstructions in algebraic topology, FOS: Mathematics, Algebraic Topology (math.AT), affine Grassmannian, Mathematics - Algebraic Topology, Generalized (extraordinary) homology and cohomology theories in algebraic topology, Equivariant homotopy theory in algebraic topology
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