Timeline for Relation between moduli spaces and classifying spaces
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Sep 27, 2015 at 20:05 | vote | accept | user51223 | ||
| Jul 27, 2015 at 20:50 | comment | added | user51223 | @SeanTilson Thanks. I have not looked at their paper closely, if you mean the one which they try to locate characteristic classes for manifold bundles. I suppose what you suggest is already in the paper of Galatius-Madsen-Tillmann-Weiss which considers the infinite loop space associated to a Madsen-Tillmann spectrum as the classifying space for manifold bundles. | |
| Jul 27, 2015 at 20:26 | history | edited | user51223 | CC BY-SA 3.0 |
added 212 characters in body
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| Jul 27, 2015 at 20:21 | comment | added | user51223 | @ThiKu This is the work of Madsen and Weiss, later on followed by Galatius, Madsen, Tillmann, and Weiss. Yet, I have to add that Madsen-Tillmann map is really a map $\mathbb{Z}\times B\Gamma_\infty^+\to\Omega^\infty\mathbb{C}P_{-1}$. | |
| Jul 27, 2015 at 20:07 | answer | added | Dmitri Pavlov | timeline score: 10 | |
| Jul 27, 2015 at 19:43 | comment | added | Sean Tilson | @ThiKu It is not obvious. This takes a lot of work. | |
| Jul 27, 2015 at 19:42 | comment | added | Sean Tilson | Yes, I was going to suggest you look at the work done in this vein. Maybe recent work of Galatius and Randal-Williams about moduli spaces of manifold bundles will be helpful. There are even videos of lectures Soren and Oscar gave at MSRI online. | |
| Jul 27, 2015 at 19:01 | comment | added | ThiKu | For the question to make sense you should give some indication what ${\mathcal M}_C$ should be. In your example it is the moduli space of Riemann surfaces, but I don't see how this is related to the cobordism category. | |
| Jul 27, 2015 at 16:00 | history | asked | user51223 | CC BY-SA 3.0 |