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Results tagged with equivariant-cohomology
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user 3473
15
votes
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answers
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Reference for equivariant Atiyah-Jänich theorem
The equivariant Atiyah-Jänich theorem is an isomorphism
$$
[X,F]_G \cong K_G^0(X),
$$
where $G$ is a compact Lie group, $X$ is a compact $G$-manifold, $F$ is the space of Fredholm operators on a certa …
- 4,519
8
votes
Accepted
Is there a relationship between fusion and S^1-equivariance for spinors on loop space?
Matthias' paper that you cite is about the spinor bundle on loop spaces, and Matthias proves there that a manifold $M$ admits a string structure if and only if $LM$ admits a fusive spinor bundle.
The …
- 4,519