We introduce and study the notion of Poisson surface. We prove that the choice of a Poisson structure on a surface S canonically determines a Poisson structure on the moduli space M of stable sheaves on S. This result generalizes previous results obtained by Mukai, for abelian or K3 surfaces, and by Tyurin.
Poisson Structures on Moduli Spaces of Sheaves over Poisson Surfaces
BOTTACIN, FRANCESCO
1995
Abstract
We introduce and study the notion of Poisson surface. We prove that the choice of a Poisson structure on a surface S canonically determines a Poisson structure on the moduli space M of stable sheaves on S. This result generalizes previous results obtained by Mukai, for abelian or K3 surfaces, and by Tyurin.
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