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A proof of the Hausel–Rodriguez-Villegas conjecture

Contributed by Qiyue Tang

We prove the Hausel–Rodriguez-Villegas conjecture on the mixed Hodge polynomials of primitive-twisted $\mathrm{GL}_n$ character varieties.

Author comments: I am posting this manuscript to share the mathematical results themselves. In doing so, I do not seek to assert ownership of the results or claim priority. I welcome anyone interested in checking the arguments or preparing a finished account, and I believe the eventual scholarly credit should go to those who undertake that work.

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Nov 13, 202667 pages

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A proof of the Hausel–Rodriguez-Villegas conjecture

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