Very stable regular $G$-Higgs bundles

Miguel González

Very stable regular $G$-Higgs bundles

Algebraic Geometry 2025-03-04 v1 Differential Geometry

Authors: Miguel González

Abstract

We give a classification of very stable $G$ -Higgs bundles in the generically regular Higgs field case for $G$ an arbitrary connected semisimple complex group. This extends the classification for $G=\mathrm{GL}_n(\mathbb C)$ and fixed point type $(1,1,\dots,1)$ given by Hausel and Hitchin.

Keywords

higgs bundle principal bundles homological stability

Cite

@article{arxiv.2503.01289,
  title  = {Very stable regular $G$-Higgs bundles},
  author = {Miguel González},
  journal= {arXiv preprint arXiv:2503.01289},
  year   = {2025}
}

Comments

32 pages, comments are welcome

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