McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential (Q6101095)

scientific article; zbMATH DE number 7690524

Language	Label	Description	Also known as
English	McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential	scientific article; zbMATH DE number 7690524

Statements

instance of

scholarly article

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title

McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential (English)

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31 May 2023

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full work available at URL

https://arxiv.org/abs/1901.02032

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zbMATH Keywords

mapping class group

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surface group representations

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MaRDI profile type

Publication

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cites work

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Parameterizing Hitchin components

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Cubic differentials and hyperbolic convex sets

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Geodesics with bounded intersection number on surfaces are sparsely distributed

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A Proof of McShane's Identity Via Markoff Triples

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A variation of McShane's identity for once-punctured torus bundles

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Markoff triples and quasifuchsian groups

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On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)

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Group completions and limit sets of Kleinian groups

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Basmajian-type inequalities for maximal representations

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Q5834411

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Q4846449

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Geometry of canonical bases and mirror symmetry

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Lie groups and Teichmüller space

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Simple geodesics and Markoff quads

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Polynomial automorphisms of $\mathbb {C}^n$ preserving the Markoff-Hurwitz polynomial

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A McShane-type identity for closed surfaces

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McShane-Type Identities for Quasifuchsian Representations of Nonorientable Surfaces

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The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture

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Cross ratios and identities for higher Teichmüller-Thurston theory

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Q4869249

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A variation of McShane's identity for 2-bridge links

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A dilogarithm identity on moduli spaces of curves

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Collar lemma for Hitchin representations

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Marked moduli space of finite-volume convex projective surfaces

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Finite volume convex projective surface

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Simple geodesics and a series constant over Teichmüller space

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Q4842210

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Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces

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The limit sets of quasifuchsian punctured surface groups and the Teichmüller distances

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Lengths of geodesics on non-orientable hyperbolic surfaces

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The decorated Teichmüller space of punctured surfaces

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Eigenvalues and entropy of a Hitchin representation

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Shortening all the simple closed geodesics on surfaces with boundary

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AN INVITATION TO HIGHER TEICHMÜLLER THEORY

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published in

Memoirs of the American Mathematical Society

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Identifiers

zbMATH Open document ID

1517.30008

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arXiv ID

1901.02032

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6101095