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Vanishing of the top chern classes of the moduli of vector bundles

Young-Hoon Kiem Seoul National University Jun Li Stanford University

Differential Geometry mathscidoc:1609.10017

Journal of Differential Geometry, 76, (1), 45-115, 2007
We prove the vanishing of the top Chern classes of the moduli of rank three stable vector bundles on a smooth Riemann surface. More precisely, the Chern class ci for i > 6g − 5 of the moduli spaces of rank three vector bundles of degree one and two on a genus g smooth Riemann surface all vanish. This generalizes the rank two case, conjectured by Newstead and Ramanan and proved by Gieseker.
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@inproceedings{young-hoon2007vanishing,
  title={VANISHING OF THE TOP CHERN CLASSES OF THE  MODULI OF VECTOR BUNDLES},
  author={Young-Hoon Kiem, and Jun Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160908195117578485674},
  booktitle={Journal of Differential Geometry},
  volume={76},
  number={1},
  pages={45-115},
  year={2007},
}
Young-Hoon Kiem, and Jun Li. VANISHING OF THE TOP CHERN CLASSES OF THE MODULI OF VECTOR BUNDLES. 2007. Vol. 76. In Journal of Differential Geometry. pp.45-115. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160908195117578485674.
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