| Speaker: | Misha Verbitsky (HSE, National Research University) |
|---|---|
| Title: | Twistor correspondence for hyperkaehler manifolds and the space of instantons |
| Date (JST): | Mon, Jan 23, 2012, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Related File: | 621.pdf |
| Abstract: | Let Tw be a twistor space of hyperkaehler or a quaternionic-Kaehler manifold Q, and B a holomorphic vector bundle which is trivial on the rational curves associated with points of Q. Then B is eqipped with a canonical connection, compatible with a holomorphic structure, and obtained as a pullback of a certain non-Hermitian Yang-Mills bundle on Q. This is used to obtain the following description of the moduli of framed instanton bundles on CP^3. This space is equivalent to a component in the moduli of the rational curves in a twistor space of W, where W is the space of framed instantons on \R^4. |
