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Results tagged with at.algebraic-topology
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user 19071
Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
$\hat{A}$ genus of total space of fiber bundle
If the fiber is spin and the structure group of this fiber bundle is a compact, connected Lie group, then the $\hat{A}$ genus of the total space is the product of those of the base space and the fiber …
- 391
4
votes
2
answers
530
views
a question about the isotropy subgroup of circle action on manifolds with isolated fixed point
Given a circle action on a closed, oriented smooth manifold $M^{2n}$ with isolated fixed points. My question is, does there always exist a point $p\in M$ such that the isotropy subgroup of $p$ is triv …
- 391
13
votes
2
answers
793
views
Does there exist smooth circle action on manifolds M^{4n} with exactly three fixed points su...
I have a question in mind for some time. That is, does there exist a smooth circle action on a closed manifold $M^{4n}$ ($n\geq 2$) with exactly three fixed points?
Remarks:(1) For n=1, the examples a …
- 391