MS Seminar (Mathematics - String Theory)

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.