منابع مشابه
Quantum Knizhnik-zamolodchikov Equations and Holomorphic Vector Bundles
Introduction In 1984 Knizhnik and Zamolodchikov [KZ] studied the matrix elements of intertwining operators between certain representations of affine Lie algebras and found that they satisfy a holonomic system of differential equations which are now called the Knizhnik-Zamolodchikov (KZ) equations. It turned out that the KZ equations (and hence, representation theory of affine Lie algebras) are ...
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This work is motivated by the general interest in moduli spaces of based SU(r)instantons on S and on the connected sum of complex projective planes, which can be interpreted as moduli spaces of framed holomorphic vector bundles on blown up ruled surfaces. To be precise, we consider moduli of based SU(r)-instantons over all self-dual four dimensional manifolds, where the twistor bration contains...
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Link invariants, for 3-manifolds, are defined in the context of the RozanskyWitten theory. To each knot in the link one associates a holomorphic bundle over a holomorphic symplectic manifold X . The invariants are evaluated for b1(M) ≥ 1 and X Hyper-Kähler. To obtain invariants of Hyper-Kähler X one finds that the holomorphic vector bundles must be hyper-holomorphic. This condition is derived a...
متن کاملClassification of Holomorphic Vector Bundles on Noncommutative Two-tori
We prove that every holomorphic vector bundle on a noncommutative twotorus T can be obtained by successive extensions from standard holomorphic bundles considered in [2]. This implies that the category of holomorphic bundles on T is equivalent to the heart of certain t-structure on the derived category of coherent sheaves on an elliptic curve.
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For a large class of Banach spaces X we prove the following. If Ω ⊂ X is open and pseudoconvex, and E → Ω is a locally trivial holomorphic Banach bundle, then the sheaf cohomology groups Hq(Ω, E) vanish for q ≥ 1. We also give an application concerning neighborhoods of complex submanifolds.
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1970
ISSN: 0022-2518
DOI: 10.1512/iumj.1971.20.20002