The Newstead-Ramanan conjecture for Chern classes

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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.
7 pages, LaTeX

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Algebraic Geometry, Algebraic Topology, 14H60 (Primary); 19L47, 19L10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/106332

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512486
 http://arxiv.org/abs/math/0512486

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arXiv