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Canonical Generators for the Cohomology of Moduli of Parabolic Bundles on Curves

I. Biswas·N. Raghavendra
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Abstract

We determine generators of the rational cohomology algebras of moduli spaces of parabolic vector bundles on a curve, under some `primality' conditions on the parabolic datum. These generators are canonical in a precise sense. Our results are new even for usual vector bundles (i.e., vector bundles without parabolic structure) whose rank is greater than 2 and is coprime to the degree; in this case, they are generalizations of a theorem of Newstead on the moduli of vector bundles of rank 2 and odd degree.

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BibTeXRIS

I. Biswas, N. Raghavendra. 1994-07-04. Canonical Generators for the Cohomology of Moduli of Parabolic Bundles on Curves. https://arxiv.org/abs/alg-geom/9407003

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