English

Parabolic bundles, products of conjugacy classes, and quantum cohomology

Algebraic Geometry 2007-05-23 v2 Symplectic Geometry

Abstract

In this version referee's comments have been incorporated. Besides minor corrections, new material has been added on irrational markings. To appear in Ann. Inst. Fourier. We prove a condition for the existence of flat bundles on the punctured two-sphere with prescribed holonomies around the punctures, involving Gromov-Witten invariants of generalized flag varieties. This generalizes the case of special unitary bundles described by S. Agnihotri and the second author and independently P. Belkale.

Keywords

Cite

@article{arxiv.math/0012241,
  title  = {Parabolic bundles, products of conjugacy classes, and quantum cohomology},
  author = {Constantin Teleman and Chris Woodward},
  journal= {arXiv preprint arXiv:math/0012241},
  year   = {2007}
}

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24 pages