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arXiv · 2212.02646

On the cohomology of character stacks for non-orientable surfaces

Tommaso Scognamiglio
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Abstract

We give a counterexample to a formula suggested by the work of Letellier and Rodriguez-Villegas (arXiv:2008.13435) for the mixed Poincaré series of character stacks for non-orientable surfaces. The counterexample is obtained by an explicit description of these character stacks for (real) elliptic curves.

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Tommaso Scognamiglio. 2023-11-27. On the cohomology of character stacks for non-orientable surfaces. https://arxiv.org/abs/2212.02646

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