Timeline for The components of the space of projectively flat bundles over a Riemann surface

8 events

when toggle format	what		by	license	comment
Jun 18, 2017 at 6:53	vote	accept	swalker
Jun 18, 2017 at 6:53	vote	accept	swalker
Jun 18, 2017 at 6:53
Jun 18, 2017 at 6:53	vote	accept	swalker
Jun 18, 2017 at 6:53
Jun 18, 2017 at 6:52	history	edited	swalker	CC BY-SA 3.0	added 1 character in body
Jun 16, 2017 at 21:05	history	edited	Jason Starr	CC BY-SA 3.0	added 3673 characters in body
Jun 15, 2017 at 13:19	comment	added	swalker		I apologize for my ambiguous notation, I probably should give the precise definitions for ${\Bbb C}^{\times}, SL(n,{\Bbb C})\cdots$ at first. Here ${\Bbb C}^{\times}$ denotes the constant sheaf, i.e. a sheaf of constant maps from open subsets to ${\Bbb C}^{\times}$. And $H^1(M, {\Bbb C}^{\times})$ is the set of all flat complex line bundles. The definitions of $SL(n,{\Bbb C})$ and $H^1(M, SL(n,{\Bbb C}))$ are similar. My first question is for any $\beta \in H^1(M, {\Bbb Z}_n)$, can we find a holomorphic vector bundle $E$, which is projectively flat, such that $\delta({\Bbb P}(E)) = \beta$.
S Jun 14, 2017 at 9:43	history	answered	Jason Starr	CC BY-SA 3.0
S Jun 14, 2017 at 9:43	history	made wiki			Post Made Community Wiki by Jason Starr