Generators for the moduli space of parabolic bundle

2024/02/08 by Jeffrey, Lisa, Zhang, Yukai
#53D30 #53D99 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2402.06051

Abstract

The purpose of this note is to find explicit representatives in deRham cohomology for the generators of the cohomology of the moduli space of parabolic bundles, analogous to the results of \citegroupcoho for the moduli space of vector bundles. Further we use the explicit generators to compute the intersection pairing of its cohomology.

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