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Mathematics  2011 

Symplectic structures on moduli spaces of framed sheaves on surfaces

DOI: 10.2478/s11533-012-0063-1

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Abstract:

We provide generalizations of the notions of Atiyah class and 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 some birationally ruled surfaces.

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