Timeline for Existing proofs of Rokhlin's theorem for PL manifolds
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 10, 2012 at 2:05 | comment | added | Bruno Martelli | I mean, Roberts work with smooth manifolds but probably PL is enough, but one needs to check that carefully. | |
| Feb 10, 2012 at 2:04 | comment | added | Bruno Martelli | I don't think that this issue is discussed. They define invariants on PL objects (triangulations or handle decompositions), then they prove that they are invariant under the corresponding moves (Pachner moves? and Kirby moves), then they show that the signature and w_2 can be computed from these invariants, and the algebra of the invariants show that 16 divides the signature when w_2=0. | |
| Feb 10, 2012 at 0:39 | comment | added | Vitali Kapovitch | Thanks. I must say that I'm completely unfamiliar with that approach. Is it discussed anywhere that it all really works in PL category? Roberts doesn't mention the issue at all as far as I can tell. | |
| Feb 9, 2012 at 23:48 | history | answered | Bruno Martelli | CC BY-SA 3.0 |