Canonical Generators of the Cohomology of Moduli of Parabolic Bundles on Curves
نویسنده
چکیده
The aim of this paper is to determine generators of the rational cohomology algebras of moduli spaces of parabolic vector bundles on a curve, under some ‘primality’ conditions (see Assumptions 1.1 and 1.2) on the parabolic datum. These generators are canonical in a sense which will be made precise below. 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 [8], where the case of vector bundles of rank 2 and odd degree is studied. ∗On leave from the School of Mathematics, SPIC Science Foundation, Madras, India.
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