Boundary of the Gothen components

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

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Bibliographische Detailangaben
Veröffentlicht in:	Topology and its applications 2023-03, Vol.326, p.108420, Article 108420
Hauptverfasser:	Ouyang, Charles, Tamburelli, Andrea
Format:	Artikel
Sprache:	eng
Schlagworte:	Geodesic currents Higher Teichmuller theory Pseudo-Riemannian geometry
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this short note we describe an interesting new phenomenon about the Sp(4,R)-character variety. Precisely, we show that the Hitchin component and all Gothen components share the same boundary in our length spectrum compactification.
ISSN:	0166-8641 1879-3207
DOI:	10.1016/j.topol.2023.108420