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arXiv · 1801.04023

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

Elisheva Adina Gamse·Jonathan Weitsman
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Abstract

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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Elisheva Adina Gamse, Jonathan Weitsman. 2019-03-18. Relations in the cohomology ring of the moduli space of flat $SO(2n+1)$-connections on a Riemann surface. https://doi.org/10.1098/rsta.2017.0427

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