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January 23rd, 2012
| January 23rd, 2012 | |
|---|---|
| 07:40 pm [Link] |
Twistor correspondence for hyperkaehler manifolds Кстати, вот сегодняшняя лекция в IPMU http://db.ipmu.jp/seminar/?seminar_id=6 Twistor correspondence for hyperkaehler manifolds and the space of instantons 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. http://verbit.ru/MATH/TALKS/Twistor-IPM Еще одна завтра тоже. Привет Current Mood: |
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