Twisted Higgs bundles and coendoscopy
Algebraic Geometry
2026-02-11 v1
Abstract
This short note is devoted to the study of -Higgs bundles twisted by a central gerbe. These objects arise naturally in the decomposition of the inertia stacks of -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.
Keywords
Cite
@article{arxiv.2602.09706,
title = {Twisted Higgs bundles and coendoscopy},
author = {Michael Groechenig and Xuanyou Li and Dimitri Wyss and Paul Ziegler},
journal= {arXiv preprint arXiv:2602.09706},
year = {2026}
}
Comments
13 pages, comments welcome!