Relations in the cohomology ring of the moduli space of flat SO(2n+1)-connections on a Riemann surface
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modulispacebundleschernclassesconnectionsflatline
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We consider the moduli space of flat $SO(2n+1)$-connections (up to gauge transformations) on a Riemann surface, with fixed holonomy around a marked point. There are natural line bundles over this moduli space; we construct geometric representatives for the Chern classes of these line bundles, and prove that the ring generated by these Chern classes vanishes below the dimension of the moduli space, generalising a conjecture of Newstead.
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