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Global topology of the Hitchin system

Authors
  • Hausel, Tamas
Type
Preprint
Publication Date
Sep 10, 2011
Submission Date
Feb 08, 2011
Source
arXiv
License
Yellow
External links

Abstract

Here we survey several results and conjectures on the cohomology of the total space of the Hitchin system: the moduli space of semi-stable rank n and degree d Higgs bundles on a complex algebraic curve C. The picture emerging is a dynamic mixture of ideas originating in theoretical physics such as gauge theory and mirror symmetry, Weil conjectures in arithmetic algebraic geometry, representation theory of finite groups of Lie type and Langlands duality in number theory.

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