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Twistor correspondence for hyperkaehler manifolds
Кстати, вот сегодняшняя лекция в IPMU

http://db.ipmu.jp/seminar/?seminar_id=621
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-IPMU.pdf

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