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Homotopy theory, homological algebra, algebraic treatments of manifolds.

0 votes
1 answer
385 views

Reference request for equivariant cohomology of G [duplicate]

Possible Duplicate: What is the equivariant cohomology of a group acting on itself by conjugation? Let $G$ be a compact Lie group. Where can one read about the equivariant cohomology $H_G^*( …
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Representing rational homology by manifolds

Thank you everyone for helping with this question. I would like to attempt to provide my own answer (which came to me after reading all the comments): Let $B_* (M)$ be rational, oriented bordism and …
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  • 559
8 votes
3 answers
2k views

Representing rational homology by manifolds

Let $X$ be a topological space (say a manifold). A result of R. Thom states that the pushforwards of fundamental classes of closed, smooth manifolds generate the rational homology of $X$. This work …
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