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Results tagged with at.algebraic-topology
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user 5723
Homotopy theory, homological algebra, algebraic treatments of manifolds.
12
votes
Accepted
Passing from T-equivariant to G-equivariant cohomology
This isn't a complete answer, but for example, if you know that $H_T^*(X;\mathbb{Z})$ injects into the cohomology of the fixed point set $X^T$, then for $G=GL_n(\mathbb{C})$, the canonical map $H_G^*( …
- 524
2
votes
Fake projective spaces
A quick google search on "homotopy projective space" yields results that should interest you. A 1973 paper of Bruce Conrad gives constructions of such spaces (starting with a given one): On manifolds …
- 524
3
votes
Cohomology of the interior of a zero set of a smooth function
When $f$ is a Morse-Bott function, you may be able to deduce information about the Betti numbers of $f^{-1}(0)$ if you understand the critical sets of $f$.
A bit more generally, when $f$ is minimally …
- 524
18
votes
8
answers
3k
views
Reference request: Equivariant Topology
I am teaching a graduate seminar in equivariant topology. The format of the course is that I will give 2-3 weeks of background lectures, then each week a student will present a topic. The students h …