Timeline for Why Lagrangian cobordism?
Current License: CC BY-SA 2.5
5 events
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Nov 9, 2010 at 14:17 | comment | added | Paul | (cont.) There are other possible answers to the question; Daniel should look at Kevin Walker's old and new notes on his web page. | |
Nov 9, 2010 at 14:16 | comment | added | Paul | @Richard,change "monopole" to "instanton." To connect more to Daniel's question, the observation he attributes to Wall is the reason the flat connections on the surface which extend to the 3-manifold are Lagrangian: the differential of the restriction map on flat connections is the cohomology map $H^1(X)\to H^1(\partial X)$ (suitably twisted). Incidentally, a useful but not as well-known fact is that the CS function lifts this restriction to a Legendrian submanifold of a S^1 bundle over the flat connections on a surface. | |
Nov 9, 2010 at 7:22 | comment | added | Ben Webster♦ | I adjusted your quotes a bit; I hope you don't mind. The parsing of the "grave" accent is a bit wonky, since it's Markdown's verbatim marker. | |
Nov 9, 2010 at 7:20 | history | edited | Ben Webster♦ | CC BY-SA 2.5 |
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Nov 9, 2010 at 6:10 | history | answered | Richard Montgomery | CC BY-SA 2.5 |