Twisted Higgs bundles and coendoscopy

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Michael Groechenig, Xuanyou Li, Dimitri Wyss, Paul Ziegler
DOI: 10.48550/arxiv.2602.09706
Cited by: 0

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 Ngô's product formula for twisted Hitchin fibres.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Algebraic structures and combinatorial models

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 February 2026
Language
EN
Document type
Preprint