Published August 2010
| Submitted + Published
Book Section - Chapter
Open
Topological Field Theory, Higher Categories, and Their Applications
- Creators
-
Kapustin, Anton
- Other:
- Bhatia, Rajendra
Abstract
It has been common wisdom among mathematicians that Extended Topological Field Theory in dimensions higher than two is naturally formulated in terms of n-categories with n > 1. Recently the physical meaning of these higher categorical structures has been recognized and concrete examples of Extended TFTs have been constructed. Some of these examples, like the Rozansky-Witten model, are of geometric nature, while others are related to representation theory. I outline two application of higher-dimensional TFTs. One is related to the problem of classifying monoidal deformations of the derived category of coherent sheaves, and the other one is geometric Langlands duality.
Additional Information
© 2010 Hindustan Book Agency. Submitted on 14 Apr 2010 (v1), last revised 22 Apr 2010 this version, (v2). I would like to thank David Ben-Zvi, Dmitri Orlov, and Lev Rozansky for comments on the draft of the talk.Attached Files
Published - icm2010.3.2021.2043.pdf
Submitted - 1004.2307.pdf
Files
1004.2307.pdf
Files
(1.0 MB)
| Name | Size | Download all |
|---|---|---|
|
md5:10505f0da8d970bfc8a5a27f5b32121c
|
555.3 kB | Preview Download |
|
md5:46940901c4a87e268b986351c20f1d94
|
458.1 kB | Preview Download |
Additional details
- Eprint ID
- 66625
- Resolver ID
- CaltechAUTHORS:20160503-151154407
- Created
-
2016-05-04Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field