A collar lemma for partially hyperconvex surface group representations

DOI10.1090/tran/8453zbMath1487.22012arXiv2004.03559OpenAlexW3155434235WikidataQ124972821 ScholiaQ124972821MaRDI QIDQ3382259

Jonas Beyrer, Unnamed Author

Publication date: 21 September 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03559

zbMATH Keywords

positive representationhigher Teichmüller theoryAnosov representationcollar lemma generalizationhigher rank Teichmüller theorypartially hyperconvex representation

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) General geometric structures on low-dimensional manifolds (57M50)

Related Items (2)

From Hyperbolic Dehn Filling to Surgeries in Representation Varieties ⋮ Hitchin representations of Fuchsian groups

Cites Work

• Unnamed Item
• Cross ratios and identities for higher Teichmüller-Thurston theory
• Cross ratios, surface groups, \(\text{PSL}(n,\mathbb R)\) and diffeomorphisms of the circle
• Positivity and higher Teichmüller theory
• Anosov subgroups: dynamical and geometric characterizations
• Anosov representations: domains of discontinuity and applications.
• Anosov representations and dominated splittings
• Conformality for a robust class of non-conformal attractors
• Cross ratios on boundaries of symmetric spaces and euclidean buildings
• Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations
• Basmajian-type inequalities for maximal representations
• Collar lemma for Hitchin representations
• Maximal representations, non-Archimedean Siegel spaces, and buildings
• Positively ratioed representations
• Moduli spaces of local systems and higher Teichmüller theory
• Anosov flows, surface groups and curves in projective space
• Discontinuous Groups and Riemann Surfaces (AM-79)
• Basmajian's identity in higher Teichmüller–Thurston theory
• Convergence groups are Fuchsian groups

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