Timeline for homotopy between solutions of Maurer-Cartan equation
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 7, 2010 at 16:28 | answer | added | domenico fiorenza | timeline score: 2 | |
| Dec 7, 2010 at 11:29 | answer | added | Gjergji Zaimi | timeline score: 1 | |
| Dec 7, 2010 at 11:03 | comment | added | James Griffin | If you take the infinitesimal neighbourhood of a Maurer Cartan solution (ie the twisted dg-Lie algebra) then the differential certainly gives a notion of homotopy. I look forward to an expert's take on this nice question. | |
| Dec 7, 2010 at 10:15 | comment | added | Kevin H. Lin | There is a standard notion of "gauge equivalence" of Maurer-Cartan solutions, at least when $g^0$ (the degree zero part of $g$) is nilpotent. It comes from the "gauge action", which is just the exponentiated $\operatorname{ad}$ action of $g^0$. See for example these notes of Manetti: arxiv.org/abs/math/0507286 | |
| Dec 7, 2010 at 9:32 | history | asked | HYYY | CC BY-SA 2.5 |