The Newstead-Ramanan conjecture for Chern classes
Algebraic Geometry
2007-05-23 v1 Algebraic Topology
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.
Cite
@article{arxiv.math/0512486,
title = {The Newstead-Ramanan conjecture for Chern classes},
author = {Constantin Teleman and Christopher T. Woodward},
journal= {arXiv preprint arXiv:math/0512486},
year = {2007}
}
Comments
7 pages, LaTeX