Timeline for Is there a discrete Cerf theory?
Current License: CC BY-SA 2.5
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| Jun 22, 2022 at 7:16 | history | edited | CommunityBot |
replaced http://front.math.ucdavis.edu/ with https://arxiv.org/abs/
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
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| Aug 25, 2012 at 15:48 | answer | added | Vidit Nanda | timeline score: 8 | |
| Aug 4, 2011 at 21:44 | history | edited | Dr Shello |
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| Aug 4, 2011 at 21:43 | history | edited | Dr Shello |
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| Mar 2, 2011 at 11:37 | answer | added | Ulrich Bauer | timeline score: 5 | |
| Feb 25, 2011 at 14:25 | comment | added | Sam Nead | I have always wanted to understand the paper "Cerf theory for graphs" by Hatcher and Vogtmann. math.cornell.edu/~hatcher/Papers/Cerfgraph.pdf | |
| Feb 25, 2011 at 13:14 | comment | added | user6976 | @Daniel and Andy: Another random remark: the discrete Morse theory was invented first by Ken Brown and used by Ken Brown and Ross Geoghegan in their 1984 paper in Inventiones about homology of the R. Thompson group $F$, and later by Brown in "The geometry of rewriting systems: A proof of the Anick -- Groves --Squier theorem", 1989. Essentially it is the same version of Morse theory indepently rediscovered later by Bestvina and Forman. | |
| Feb 25, 2011 at 6:27 | comment | added | Greg Friedman | 'Additionally, a topological "machine" can only be used by a computer if it requires only finite information.' Would that still be true of a quantum computer? (I realize this isn't helpful, but it came to mind.) | |
| Feb 25, 2011 at 5:23 | comment | added | Andy Putman | Not an answer, just a random remark. There's another version of discrete Morse theory used in geometric group theory, especially by Mladen Bestvina (see his survey here : math.utah.edu/~bestvina/eprints/minicourse.pdf). It seems that a lot of people who are aware of Forman's work are not aware of Bestvina's, and vise-versa. Oddly enough, I've used Bestvina-style discrete Morse theory a lot, but I happen to inhabit Robin's old office and be currently sitting in his old chair =). | |
| Feb 25, 2011 at 5:01 | history | asked | Daniel Moskovich | CC BY-SA 2.5 |