Timeline for Why is a partition function of a Topological Conformal Field Theory related to Deligne-Mumford space
Current License: CC BY-SA 2.5
8 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jul 23, 2010 at 1:25 | comment | added | HYYY | Thanks!Kevin. but I thought Sigma model is only one kind of topological (or conformal) field theory. | |
| Jul 22, 2010 at 23:52 | comment | added | Kevin H. Lin | Life is hard. :) | |
| Jul 22, 2010 at 23:52 | comment | added | Kevin H. Lin | The space of fields is the appropriate space of maps from (nodal) Riemann surfaces to your target manifold. In other words it is $\overline{M}_{g,n}(X)$. The partition function involves integrals of certain classes over this space of fields. You can also express these integrals as integrals over $\overline{M}_{g,n}$, by pushing forward along the "forgetful map" $\overline{M}_{g,n}(X) \to \overline{M}_{g,n}$. | |
| Jul 22, 2010 at 9:24 | comment | added | HYYY | Costello's article seems hard to me. | |
| Jul 22, 2010 at 9:24 | comment | added | HYYY | Hi,kevin,I still have a question. Why partition function of a TCFT is the integral over the moduli space of Riemann surface (or its compactification)? By definition of partition function, we shall integrate something over the configuration space of fields, but what is the configuration space of fields for a general TCFT or just TFT? That's why I was asking this question. | |
| Jun 24, 2010 at 4:52 | vote | accept | HYYY | ||
| Jan 30, 2010 at 21:48 | history | answered | Kevin H. Lin | CC BY-SA 2.5 |