Hodge theory for algebraic stacks and the cohomology of the moduli space of stable bundles

Ajneet Singh Dhillon, Purdue University

Abstract

We calculate some Hodge and Betti numbers of the moduli space of stable vector bundles on a smooth projective curve. In the process we develop Hodge theory for algebraic stacks.

Degree

Ph.D.

Advisors

Arapura, Purdue University.

Subject Area

Mathematics

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