Timeline for Topology of hypersurface of sphere fixed by homeomorphic involution
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 20, 2015 at 15:05 | comment | added | Danny Ruberman | The N that you construct is $S^{d+1}$ in general. For N is really $\Delta \cup -\Delta$, which is the boundary of $\Delta \times I$. Puncturing this gives an h-cobordism between N and a sphere, which is a smooth product by your dimension hypothesis. This argument breaks down if d=3, but (starting with Mazur's original construction) there are lots of homology 3-spheres that bound contractible manifolds, and for all that I know, the double N is $S^4$. | |
| Jun 20, 2015 at 15:04 | comment | added | foliations | Thanks! Do you know what can happen for $d=3$ (i.e. $n=4$ in the original question)? | |
| Jun 20, 2015 at 15:02 | vote | accept | foliations | ||
| Jun 20, 2015 at 14:54 | history | edited | Oscar Randal-Williams | CC BY-SA 3.0 |
deleted 57 characters in body
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| Jun 20, 2015 at 14:44 | history | answered | Oscar Randal-Williams | CC BY-SA 3.0 |