Torus action on the moduli spaces of plane sheaves

Abstract

We describe the torus fixed locus of the moduli space of stable sheaves with Hilbert polynomial $4m+1$ on the projective plane. We determine the torus representation of the tangent spaces at the fixed points, which leads to the computation of the Betti and Hodge numbers of the moduli space.

30 pages, comments are welcome

References in corpus (2)

• The Omega deformed B-model for rigid N=2 theories
• The classification of semi-stable plane sheaves supported on sextic curves

Cited by in corpus (8)

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• Moduli of space sheaves with Hilbert polynomial 4m+1
• A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics
• On the homology of the moduli space of plane sheaves with Hilbert polynomial 5m+3
• Affine pavings for moduli spaces of pure sheaves on ${\mathbb{P}}^2$ with degree $\le 5$
• Virtual Poincaré polynomial of the space of stable pairs supported on quintic curves