Timeline for How does the Framed Function Theorem simplify Cerf Theory?
Current License: CC BY-SA 3.0
8 events
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| Jul 1, 2022 at 22:18 | comment | added | Dylan Thurston | Shortly after this question was posted, Elaisberg and Mishachev published a very relevant paper: arxiv.org/abs/1108.1000 "The Space of Framed Functions is Contractible" | |
| Jul 1, 2022 at 22:16 | comment | added | Dylan Thurston | The link in Sergey Melikhov's comment is broken, but it seems to be available currently at mn.uio.no/math/personer/vit/rognes/papers/plmf.pdf and be the paper titled "Spaces of PL Manifolds and Categories of Simple Maps" by Waldhausen, Jahren, and Rognes. | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 5, 2011 at 1:01 | vote | accept | Daniel Moskovich | ||
| May 3, 2011 at 18:57 | comment | added | Sergey Melikhov | Another approach to simplification of Cerf theory is via Hatcher's space $Wh$ and his parametric $h$-cobordism theorem (see section 1.4 in folk.uio.no/rognes/papers/plmf.pdf concerning the history of corrections of its statement and proof). In the case of links in $S^3$, this should amount to reducing/relating the Kirby calculus to some sort of transformations on $3$-manifold spines. Understanding the details of this would be really cool. | |
| May 3, 2011 at 18:56 | answer | added | John Klein | timeline score: 12 | |
| May 3, 2011 at 14:14 | history | edited | Daniel Moskovich | CC BY-SA 3.0 |
added 52 characters in body; added 4 characters in body
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| May 3, 2011 at 14:08 | history | asked | Daniel Moskovich | CC BY-SA 3.0 |