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Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).

3 votes
0 answers
77 views

Circle actions on simply connected spin manifolds

Recently I've been stuck by a concrete problem. I'll try to make it more general. Suppose $M$ is a simply connected spin manifold (with higher enough dimension), and $S^1$ acts on $M$ effectively. Th …
Ivy's user avatar
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3 votes
1 answer
317 views

Simply connected 4-manifolds with boundary

I think I've encountered a question about 4-manifolds which maybe easy but I'm not familiar with. Can anyone give me an example of a simply connected 4-manifold $M$ (with boundary, of course) with $H_ …
Ivy's user avatar
  • 123