Identities for hyperconvex Anosov representations

DOI10.1142/S1793525322500054MaRDI QIDQ6584805

Yan Mary He

Publication date: 8 August 2024

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

zbMATH Keywords

identitiesAnosov representationsHausdorff dimension of limit set

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Cites Work

• Title not available (Why is that?)
• The pressure metric for Anosov representations
• Cross ratios and identities for higher Teichmüller-Thurston theory
• Cross ratios, surface groups, \(\text{PSL}(n,\mathbb R)\) and diffeomorphisms of the circle
• The combinatorial structure of cocompact discrete hyperbolic groups
• Anosov representations and dominated splittings
• Basmajian-type inequalities for maximal representations
• Anosov flows, surface groups and curves in projective space
• Basmajian-type identities and Hausdorff dimension of limit sets
• A collar lemma for partially hyperconvex surface group representations
• The Orthogonal Spectrum of a Hyperbolic Manifold
• Basmajian's identity in higher Teichmüller–Thurston theory
• McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential

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