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arXiv · 1612.07620

Intersection cohomology of moduli spaces of sheaves on surfaces

Jan Manschot·Sergey Mozgovoy
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Abstract

We study intersection cohomology of moduli spaces of semistable vector bundles on a complex algebraic surface. Our main result relates intersection Poincare polynomials of the moduli spaces to Donaldson-Thomas invariants of the surface. In support of this result, we compute explicitly intersection Poincare polynomials for sheaves with rank two and three on ruled surfaces.

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Jan Manschot, Sergey Mozgovoy. 2016-12-22. Intersection cohomology of moduli spaces of sheaves on surfaces. https://doi.org/10.1007/s00029-018-0431-1

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