Spectral curves and integrable systems
Eyal Markman (1994)
Compositio Mathematica
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Displaying similar documents to “Symplectic geometry on moduli spaces of stable pairs”
Spectral curves and integrable systems
Poisson geometry of certain moduli spaces
Huebschmann, Johannes
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The line bundles on the moduli of parabolic -bundles over curves and their sections
Yves Laszlo, Christoph Sorger (1997)
Annales scientifiques de l'École Normale Supérieure
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Moduli of metaplectic bundles on curves and theta-sheaves
Sergey Lysenko (2006)
Annales scientifiques de l'École Normale Supérieure
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The geometry of Calogero-Moser systems
Jacques Hurtubise, Thomas Nevins (2005)
Annales de l’institut Fourier
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We give a geometric construction of the phase space of the elliptic Calogero-Moser system for arbitrary root systems, as a space of Weyl invariant pairs (bundles, Higgs fields) on the -th power of the elliptic curve, where is the rank of the root system. The Poisson structure and the Hamiltonians of the integrable system are given natural constructions. We also exhibit a curious duality between the spectral varieties for the system associated to a root system, and the Lagrangian varieties...
Symplectic structures on moduli spaces of framed sheaves on surfaces
Francesco Sala (2012)
Open Mathematics
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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.