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The Newstead-Ramanan conjecture for Chern classes

Constantin Teleman·Christopher T. Woodward
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Abstract

Newstead and Ramanan conjectured the vanishing of the top (2g-1) Chern classes of the moduli space of stable, odd degree vector bundles of rank 2 on a Riemann surface of genus g. This was proved by Gieseker [G], while an analogue in rank 3 was recently settled by Kiem and Li [KL]. We generalise this to the vanishing of the top (g-1)r rational Chern classes of the moduli space M of stable principal bundles with semi-simple structure group of rank r, whenever M is a compact orbifold.

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Constantin Teleman, Christopher T. Woodward. 2005-12-21. The Newstead-Ramanan conjecture for Chern classes. https://arxiv.org/abs/math/0512486

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