Higgs bundles on weighted projective lines and loop crystals

Guillaume Pouchin

Research output: Working paper

Abstract

We consider the space of nilpotent Higgs bundles on a weighted projective line, as a global analog of the nilpotent cone. We show that it is pure, compute its dimension, and define geometric correspondences between irreducible components. We prove it by constructing a loop analog of a cristal, in the spirit of Kashiwara and Saito, for some corresponding loop Kac-Moody algebra.
Original languageEnglish
PublisherArXiv
Publication statusPublished - 20 Dec 2013

Keywords

  • math.RT
  • 14H60, 05E10

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