The y-genus of the moduli space of PGL_n-Higgs bundles on a curve (for degree coprime to n)

Preprint

24 July 2012

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1207.5614

Abstract

Building on our previous joint work with A. Schmitt [7] we explain a recursive algorithm to determine the cohomology of moduli spaces of Higgs bundles on any given curve (in the coprime situation). As an application of the method we compute the y-genus of the space of PGL_n-Higgs bundles for any rank n, confirming a conjecture of T. Hausel.

Keywords

RECURSIVE ALGORITHM
PGL_N HIGGS BUNDLES
SPACE OF PGL_N
MODULI SPACES

All Related Versions

Version 1, 2012-07-24, ArXiv

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