MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Morse theory and hyperkahler kirwan surjectivity for higgs bundles

Georgios Daskalopoulos Brown University Jonathan Weitsman Northeastern University Richard A.Wentworth University of Maryland Graeme Wilkin University of Colorado

Differential Geometry mathscidoc:1609.10206

Journal of Differential Geometry, 87, (1), 81-115, 2011
This paper uses Morse-theoretic techniques to compute the equivariant Betti numbers of the space of semistable rank two degree zero Higgs bundles over a compact Riemann surface, a method in the spirit of Atiyah and Bott’s original approach for semistable holomorphic bundles. This leads to a natural proof that the hyperk¨ahler Kirwan map is surjective for the non-fixed determinant case.
No keywords uploaded!
[ Download ] [ 2016-09-11 23:08:03 uploaded by admin ] [ 676 downloads ] [ 0 comments ] [ Cited by 6 ] 
@inproceedings{georgios2011morse,
  title={MORSE THEORY AND HYPERKAHLER KIRWAN SURJECTIVITY FOR HIGGS BUNDLES},
  author={Georgios Daskalopoulos, Jonathan Weitsman, Richard A.Wentworth, and Graeme Wilkin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911230803196931863},
  booktitle={Journal of Differential Geometry},
  volume={87},
  number={1},
  pages={81-115},
  year={2011},
}
Georgios Daskalopoulos, Jonathan Weitsman, Richard A.Wentworth, and Graeme Wilkin. MORSE THEORY AND HYPERKAHLER KIRWAN SURJECTIVITY FOR HIGGS BUNDLES. 2011. Vol. 87. In Journal of Differential Geometry. pp.81-115. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911230803196931863.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved