表題番号：2013A-868
日付：2014/03/04
研究課題Description of solutions of the tt*equations, from the viewpoint of symplectic geometry
| 研究者所属（当時） | 資格 | 氏名 | |
|---|---|---|---|
| （代表者） | 理工学術院 | 教授 | ゲスト マーティン |
- 研究成果概要
- The main activity supported by this grant was research collaboration with Prof. Nan-Kuo Ho (National Tsing Hua University, Taiwan) on the topic stated in the title of the project. We studied a certain space of solutions of the tt* equations, originating in previous joint research of M. Guest, A. Its, and C.-S. Lin. We understood how this space can be regarded as a subspace of a moduli space of flat bundles or Higgs bundles. This gives a link with the Hitchin-Kobayashi correspondence, which is an important and active topic of current research spanning the boundary of geometry and mathematical physics. In particular we used the framework of P. Boalch, "Stokes matrices, Poisson Lie groups and Frobenius manifolds" Invent. Math. 146 (2001) 479–506. Further work in this direction is in progress and a joint article is in preparation.
Prof. Nan-Kuo Ho visited Waseda University for the period 12-16 February 2014. A workshop "Symplectic geometry of moduli spaces of connections" was held on 14 February 2014 at Waseda University. The speakers and titles were: Tosiaki Kori (Waseda University) "A canonical pre-symplectic structure on the space of connections over a four-manifold and an induced pre-symplectic structure on the space of connections over a three-manifold"; Yuji Hirota (Keio University) "On prequantization of Dirac manifolds"; Hokuto Konno (Waseda University) "The moduli space of flat SU(2)-connections on a surface with boundary: an example"; Martin Guest (Waseda University) "Linear and nonlinear convexity, and the relation with singular connections on surfaces"; Nan-Kuo Ho (National Tsing Hua University, Taiwan) "On the moduli space of singular connections: a survey".