Corpus ID: 119016951

Invariants of moduli spaces of stable sheaves on ruled surfaces

@article{Mozgovoy2013InvariantsOM,
title={Invariants of moduli spaces of stable sheaves on ruled surfaces},
author={Sergey Mozgovoy},
journal={arXiv: Algebraic Geometry},
year={2013}
}
• S. Mozgovoy
• Published 2013
• Mathematics, Physics
• arXiv: Algebraic Geometry
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.
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