Abstract
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).
Mathematics Subject Classification (2010) 32G13, 14D20.
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Hitchin, N. (2011). Stable bundles and polyvector fields. In: Ebeling, W., Hulek, K., Smoczyk, K. (eds) Complex and Differential Geometry. Springer Proceedings in Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20300-8_8
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DOI: https://doi.org/10.1007/978-3-642-20300-8_8
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