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arXiv · 1207.5614

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

Oscar García-Prada·Jochen Heinloth
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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.

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Oscar García-Prada, Jochen Heinloth. 2012-07-24. The y-genus of the moduli space of PGL_n-Higgs bundles on a curve (for degree coprime to n). https://doi.org/10.1215/00127094-2381369

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