Symplectic structures on moduli spaces of framed sheaves on surfaces

Details Symplectic structures on moduli spaces of framed sheaves on surfaces Symplectic structures on moduli spaces of framed sheaves on surfaces

2011-11-15

arxiv.org/abs/1111.3542v1

Mathematics

Algebraic Geometry

Scientific paper

We provide generalizations of the notions of Atiyah class and the Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on the second Hirzebruch surface. This generalizes a result of Bottacin for the locally free case.

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