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math.AG2013
Moduli spaces of stable pairs and non-abelian zeta functions of curves via wall-crossing
Sergey Mozgovoy, Markus Reineke
In this paper we study and relate the non-abelian zeta functions introduced by Weng and invariants of the moduli spaces of arbitrary rank stable pairs over curves. We prove a wall-…
math.AG2013★ 23 cited
Invariants of moduli spaces of stable sheaves on ruled surfaces
Sergey Mozgovoy
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 formu…