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arxiv: 1801.04023 · v2 · pith:WJWBP4FOnew · submitted 2018-01-12 · 🧮 math.DG · math.AT

Relations in the cohomology ring of the moduli space of flat SO(2n+1)-connections on a Riemann surface

classification 🧮 math.DG math.AT
keywords 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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