The author proves an equality of gerbe-twisted p-adic integrals on SLn and PGLn Higgs bundle moduli spaces for arbitrary rank and degree, generalizing the coprime-case result of Groechenig, Wyss, and Ziegler.
Duality for Commutative Group Stacks
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Non-archimedean topological mirror symmetry for $SL_n$ and $PGL_n$ Higgs bundles
The author proves an equality of gerbe-twisted p-adic integrals on SLn and PGLn Higgs bundle moduli spaces for arbitrary rank and degree, generalizing the coprime-case result of Groechenig, Wyss, and Ziegler.