| Speaker: | Hiroyuki Fuji (Nagoya Univ) |
|---|---|
| Title: | Volume Conjecture and Topological Recursion |
| Date (JST): | Tue, Apr 06, 2010, 13:15 - 14:45 |
| Place: | Seminar Room A |
| Related File: | 243.pdf |
| Abstract: |
Abstract for mini-review: In this part, I will review some aspects of the three-dimensional hyperbolic geometry. As an example, the complement of the figure eight knot complement in a three sphere will be mainly discussed. After the hyperbolic volume computation, I shall present the claim of the volume conjecture. Abstract for the seminar: In this talk, I will discuss the relation between the colored Jones polynomial and the topological open string amplitude. On the colored Jones polynomial side, I shall use AJ conjecture to derive the higher order terms in WKB expansion of the colored Jones polynomial. On the topological string theory side, I shall compute Eynard-Orantin's topological recursion on the character variety of the knot, and compute the free energies up to fourth order. I will show the coincidence of these results under the change of a constant in the Bergman kernel. |
| Contact: | Sugimoto |
| Remarks: | Presentation file will be updated. Please see the newest files at http://qken.phys.nagoya-u.ac.jp/~fuji/dfm/ipmu10_1.pdf http://qken.phys.nagoya-u.ac.jp/~fuji/dfm/ipmu10_3.pdf |
