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arXiv · 2602.09706

Twisted Higgs bundles and coendoscopy

Michael Groechenig·Xuanyou Li·Dimitri Wyss·Paul Ziegler
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Abstract

This short note is devoted to the study of $G$-Higgs bundles twisted by a central gerbe. These objects arise naturally in the decomposition of the inertia stacks of $G$-Higgs bundles in terms of coendoscopic data. We establish that stabilised point-counts and cohomology are insensitive to the central twist. Along the way we show an analogue of Ng\^o's product formula for twisted Hitchin fibres.

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Michael Groechenig, Xuanyou Li, Dimitri Wyss, Paul Ziegler. 2026-02-10. Twisted Higgs bundles and coendoscopy. https://arxiv.org/abs/2602.09706

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