Invariants of moduli spaces of stable sheaves on ruled surfaces

Abstract

We compute Betti numbers of the moduli spaces of arbitrary rank stable sheaves on ruled surfaces. Our result generalizes the formula of Goettsche for rank one sheaves and the formula of Yoshioka for rank two sheaves. It also confirms the conjecture of Manschot for arbitrary rank sheaves on the Hirzebruch surfaces.

26 pages

References in corpus (3)

• A computational criterion for the Kac conjecture
• Motivic Donaldson-Thomas invariants and McKay correspondence
• Wall-crossing formulas for framed objects

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