English

Boundary of the Gothen components

Differential Geometry 2024-12-10 v1 Geometric Topology

Abstract

In this short note we describe an interesting new phenomenon about the Sp(4,R)\mathrm{Sp}(4,\mathbb{R})-character variety. Precisely, we show that the Hitchin component and all Gothen components share the same boundary in our length spectrum compactification.

Cite

@article{arxiv.2105.01779,
  title  = {Boundary of the Gothen components},
  author = {Charles Ouyang and Andrea Tamburelli},
  journal= {arXiv preprint arXiv:2105.01779},
  year   = {2024}
}

Comments

13 pages, comments welcome. arXiv admin note: text overlap with arXiv:2010.03499

R2 v1 2026-06-24T01:47:06.535Z