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

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

1994-07-04

arxiv.org/abs/alg-geom/9407003v1

Mathematics

Algebraic Geometry

22 pages, Latex Version 2.09

Scientific paper

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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