On the Cohomology of Moduli of Vector Bundles
Algebraic Geometry
2007-05-23 v2
Abstract
We compute some Hodge and Betti numbers of the moduli space of stable rank degree vector bundles on a smooth projective curve. We do not assume and are coprime. In the process we equip the cohomology of an arbitrary algebraic stack with a functorial mixed Hodge structure. This Hodge structure is computed in the case of the moduli stack of rank , degree vector bundles on a curve. Our methods also yield a formula for the Poincare polynomial of the moduli stack that is valid over any ground field.
Keywords
Cite
@article{arxiv.math/0310299,
title = {On the Cohomology of Moduli of Vector Bundles},
author = {Ajneet Dhillon},
journal= {arXiv preprint arXiv:math/0310299},
year = {2007}
}
Comments
20 pages, I forgot to upload the bibliography last time