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.
@article{bwmeta1.element.doi-10_2478_s11533-012-0063-1,
author = {Francesco Sala},
title = {Symplectic structures on moduli spaces of framed sheaves on surfaces},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {1455-1471},
zbl = {1302.14036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0063-1}
}
Francesco Sala. Symplectic structures on moduli spaces of framed sheaves on surfaces. Open Mathematics, Tome 10 (2012) pp. 1455-1471. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0063-1/
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