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

1994/07/04 by Indranil Biswas, I. Biswas, Biswas, I. +2
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Modeling in Engineering #Algebraic Geometry (math.AG) #FOS: Mathematics #advanced mathematical theories #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9407003

22 pages, Latex Version 2.09

arxiv created 1994/07/04 · openalex publication_date 1994/07/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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