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Integral generators for the cohomology ring of moduli spaces of sheaves over Poisson surfaces

Eyal Markman
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Abstract

Let M be a smooth and compact moduli space of stable coherent sheaves on a projective surface S with an effective (or trivial) anti-canonical line bundle. We find generators for the cohomology ring of M, with integral coefficients. When S is simply connected and a universal sheaf E exists over SxM, then its class [E] admits a Kunneth decomposition as a class in the tensor product of the topological K-rings K(S) and K(M). The generators are the Chern classes of the Kunneth factors of [E] in K(M). The general case is similar

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Eyal Markman. 2006-03-22. Integral generators for the cohomology ring of moduli spaces of sheaves over Poisson surfaces. https://arxiv.org/abs/math/0406016

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