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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 KacMoody algebra.
Original language  English 

Publisher  ArXiv 
Publication status  Published  20 Dec 2013 
Keywords
 math.RT
 14H60, 05E10
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Dive into the research topics of 'Higgs bundles on weighted projective lines and loop crystals'. Together they form a unique fingerprint.Projects
 1 Finished

Higgs spaces, loop crystals and representation of loop Lie algebras
Pouchin, G.
1/09/11 → 31/08/14
Project: Research