Stable bundles and polyvector fields

Details Stable bundles and polyvector fields Stable bundles and polyvector fields

2010-04-29

arxiv.org/abs/1004.5313v1

Mathematics

Algebraic Geometry

To appear in the Proceedings of the Hannover conference on "Complex and Differential Geometry" 14-18 September 2009.

Scientific paper

We introduce an algebra of Schouten-commuting holomorphic polyvector fields
on the moduli space of stable G-bundles over a curve by using invariant forms
on the Lie algebra. The generators begin in degree three -- we prove a
vanishing theorem for degree two in the case of G=GL(n).

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