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

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.

13 pages

References in corpus (1)

• Mirror symmetry, Langlands duality, and the Hitchin system

Cited by in corpus (10)

• Counting Higgs bundles and type A quiver bundles
• Serre polynomials of $S{L}_n$- and $PG{L}_n$-character varieties of free groups
• Classification of the automorphism and isometry groups of Higgs bundle moduli spaces
• BPS states, torus links and wild character varieties
• Birationality of moduli spaces of twisted $\mathrm{U}(p,q)$-Higgs bundles
• Simpson Filtration and Oper Stratum Conjecture
• Quiver Bundles and Wall Crossing for Chains
• Maximal real varieties from moduli constructions
• Kähler-Yang-Mills Equations and Vortices
• Motivic mirror symmetry and $\chi$-independence for Higgs bundles in arbitrary characteristic