Timeline for Applications of Floer homology
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 24, 2014 at 6:00 | comment | added | YHBKJ | I'd like to mention the survey paper written by Ivan Smith: arxiv.org/abs/1401.0269 | |
| Dec 12, 2014 at 2:18 | comment | added | Xiaoyang Chen | But is there any application of Floer homology to Riemannian geometry? | |
| S Dec 28, 2012 at 23:43 | vote | accept | nicolas | ||
| Dec 26, 2012 at 14:00 | answer | added | Jonny Evans | timeline score: 8 | |
| Dec 26, 2012 at 5:02 | comment | added | Daniel Pomerleano | BTW, the Arnold Chord conjecture is different from the Arnold conjecture that is mentioned in the question. | |
| Dec 26, 2012 at 5:00 | comment | added | Daniel Pomerleano | There are many applications due to Vitterbo and others to the Weinstein conjecture in all dimensions, however the results in dimension 3 are really impressive. Taubes proved it completely in dimension 3 (I don't think the proof actually uses Floer homology, though the paper seems to be a first step in the equivalence between Embedded contact homology and Seiberg-Witten Floer homology). There are quantitative improvements due to Hutchings and Cristofaro-Gardiner that use ECH explicitly. The Arnold Chord Conjecture in dimension 3 by Taubes and Hutchings... | |
| Dec 26, 2012 at 1:57 | comment | added | Siqi He | Thom conjecture and property-p is being proved by Kronheimer and Mrowka | |
| Dec 26, 2012 at 0:36 | vote | accept | nicolas | ||
| S Dec 28, 2012 at 23:43 | |||||
| Dec 25, 2012 at 23:53 | answer | added | Paolo Ghiggini | timeline score: 5 | |
| Dec 25, 2012 at 23:50 | comment | added | Chris Gerig | Did google not help enough? The answer(s) are here: en.wikipedia.org/wiki/Floer_homology | |
| Dec 25, 2012 at 23:38 | history | asked | nicolas | CC BY-SA 3.0 |