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Results tagged with equivariant-cohomology
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user 158123
9
votes
1
answer
152
views
Is there a relationship between fusion and S^1-equivariance for spinors on loop space?
A while ago (officially in 1987), Witten conjectured that string structures on a manifold $M$ correspond to "$S^1$-equivariant" (or more precisely $\mathrm{Diff}^+(S^1)$-equivariant) spin structures o …
- 4,519
6
votes
0
answers
238
views
Borel vs genuine equivariant cohomology in quantum field theory
A lot of important work in quantum field theory involves Borel equivariant cohomology of certain geometric objects, usually with the goal of computing integrals over some complicated moduli stack. In …
- 1,969
2
votes
0
answers
148
views
Localization for generalized Borel cohomology
For both equivariant de Rham cohomology and equivariant K-theory (in the "naive" or Borel sense), we have localization formulae which allow us to compute this cohomology in terms of the fixed points. …
- 1,969