Duke Mathematical Journal
- Duke Math. J.
- Volume 167, Number 17 (2018), 3171-3205.
Integrality of Hausel–Letellier–Villegas kernels
We prove that the coefficients of the generating function of Hausel, Letellier, and Rodriguez-Villegas and its recent generalization by Carlsson and Rodriguez-Villegas, which according to various conjectures should compute mixed Hodge numbers of character varieties and moduli spaces of Higgs bundles of curves of genus with punctures, are polynomials in and with integer coefficients for any .
Duke Math. J., Volume 167, Number 17 (2018), 3171-3205.
Received: 27 October 2016
Revised: 10 May 2018
First available in Project Euclid: 10 October 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14H60: Vector bundles on curves and their moduli [See also 14D20, 14F05]
Secondary: 05E05: Symmetric functions and generalizations
Mellit, Anton. Integrality of Hausel–Letellier–Villegas kernels. Duke Math. J. 167 (2018), no. 17, 3171--3205. doi:10.1215/00127094-2018-0030. https://projecteuclid.org/euclid.dmj/1539137165