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arxiv: 1612.07620 · v1 · pith:LYRDVH43new · submitted 2016-12-22 · 🧮 math.AG · hep-th

Intersection cohomology of moduli spaces of sheaves on surfaces

Jan Manschot , Sergey Mozgovoy This is my paper
classification 🧮 math.AG hep-th
keywords intersectionmodulispacescohomologypoincarepolynomialsresultsheaves
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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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