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math.AG2023
Cohomology of non-generic character stacks
Tommaso Scognamiglio
We study (compactly supported) cohomology of character stacks of punctured Riemann surfaces with prescribed semisimple local monodromies at punctures. In the case of generic local…
math.AG2022
On the cohomology of character stacks for non-orientable surfaces
Tommaso Scognamiglio
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-orienta…