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Poincaré polynomials of moduli spaces of stable bundles over curves

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Abstract

Given a curve over a finite field, we compute the number of stable bundles of not necessarily coprime rank and degree over it. We apply this result to compute the virtual Poincaré polynomials of the moduli spaces of stable bundles over a curve. A similar formula for the virtual Hodge polynomials and motives is conjectured.

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  1. Department of Mathematics, University of Wuppertal, Gaußstraße 20, 42119, Wuppertal, Germany

    Sergey Mozgovoy

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  1. Sergey Mozgovoy
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Mozgovoy, S. Poincaré polynomials of moduli spaces of stable bundles over curves. manuscripta math. 131, 63–86 (2010). https://doi.org/10.1007/s00229-009-0302-3

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  • DOI: https://doi.org/10.1007/s00229-009-0302-3

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