Exact cohomology sequences with integral coefficients for torus actions

By M. Franz, V. Puppe. 2005

58 citations recorded by the source corpus.

Using methods applied by Atiyah in equivariant K-theory, Bredon obtained exact sequences for the relative cohomologies (with rational coefficients) of the equivariant skeletons of (sufficiently nice) T-spaces X, $T=(S^1)^n,$ with free equivariant cohomology $H_T^*(X;{\mathbb Q})$ over $H_T^*({\rm pt};{\mathbb Q})=H^*(BT;{\mathbb Q}).$ Here we characterise those finite T-CW complexes with connected isotropy groups for which an analogous result holds with integral coefficients.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1a2db462dc0bf26514c4593cf705e7cfc1131d8c

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In Geometry and Topology

1. M. Masuda
2. T. Panov
3. D. Suh
4. Suyoung Choi

In Mathematical Physics

1. M. Masuda

Citations in the corpus

• Toric topology (2012, background): “The dimension of the acting torus T can be smaller than half of the dimension of the manifold M if the fixed point set M is isolated and weights of the tangential T -representation at a fixed point are pairwise linearly independent ([24], [29, Chapter 11], [20]).”