Timeline for Existing proofs of Rokhlin's theorem for PL manifolds
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Feb 27, 2012 at 16:11 | vote | accept | Vitali Kapovitch | ||
| Feb 10, 2012 at 1:18 | answer | added | Andy Putman | timeline score: 11 | |
| Feb 10, 2012 at 0:25 | history | edited | Vitali Kapovitch | CC BY-SA 3.0 |
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| Feb 10, 2012 at 0:23 | comment | added | Vitali Kapovitch | Thanks, Igor. that paper does look interesting but after looking at it briefly it seems to suffer from the same problems that I found in other proofs that I've seen. That is it uses some results which were only proved in smooth case in PL category (such as that connected sum stabilization eventually turns PL h-cobordant manifolds into PL difeeomorphic ones). Also, to be clear, I don't insist on an Atiyah-Singer index theorem proof. but if there is one, I'd like to see it. Lastly, the link in my post was to Kirby's book that I mentioned. It just got mangled in formatting. I'll try to fix it. | |
| Feb 9, 2012 at 23:50 | history | edited | Bruno Martelli | CC BY-SA 3.0 |
correction in the title, tag "four-manifolds" added
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| Feb 9, 2012 at 23:48 | answer | added | Bruno Martelli | timeline score: 9 | |
| Feb 9, 2012 at 22:37 | comment | added | Igor Belegradek | It should be Section 1.4. (I own Russian edition where it is 1.5). | |
| Feb 9, 2012 at 22:35 | comment | added | Igor Belegradek | Try section 1.5 of Mandelbaum's survey "Four-dimensional topology" projecteuclid.org/DPubS/Repository/1.0/…. It gives a sketch for PL manifolds with trivial first homology group. The proof does not use Atiyah-Singer theorem though. By the way, your link asks for mathscinet subscription and since I connect to mathscinet through library proxy I cannot use the link, and cannot even guess what paper it points to. | |
| Feb 9, 2012 at 20:37 | history | edited | Vitali Kapovitch | CC BY-SA 3.0 |
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| Feb 9, 2012 at 20:27 | history | asked | Vitali Kapovitch | CC BY-SA 3.0 |