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Results tagged with at.algebraic-topology
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user 2555
Homotopy theory, homological algebra, algebraic treatments of manifolds.
2
votes
0
answers
754
views
Leray-Hirsch for HOMOLOGY?
Let $E\to B$ be a fibre bundle. The Leray-Hirsch theorem states under suitable assumptions, the cohomology of $E$ is an $H^*(B)$-module generated by suitable cohomology classes in $E$.
Is there any a …
- 1,207
17
votes
4
answers
3k
views
Poincare dual in equivariant (co)homology?
Let $G$ be a compact Lie group, $X$ be a (compact, oriented) smooth manifold, with $G$ acts on $X$ smoothly. Then we can talk about the $G$-equivariant homology and cohomology.
My question: In what s …
- 1,207
3
votes
0
answers
150
views
Integral Homology of GIT Quotients
Is there any example of GIT quotients of linear actions on a Euclidean space ${\mathbb C}^n$ that satisfy the following conditions?
The quotient is compact and smooth.
The homology of the quotient h …
- 1,207
1
vote
Euler characteristics and operator indices as exponents for Laurent polynomials
I met this guy in quantum cohomology. More precisely, in examples of quantum coefficient ring. So if you tag the this problem with "symplectic geometry" or "symplectic topology" I think many people th …
- 1,207