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

DOI10.1016/0040-9383(96)00017-1zbMath0872.57015OpenAlexW1989423409MaRDI QIDQ2565073

Brian H. Bowditch

Publication date: 7 January 1997

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(96)00017-1

zbMATH Keywords

homotopy classeshyperbolic structuresimple closed geodesicstorus bundleslengths

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (13)

Arithmetic hyperbolic surface bundles ⋮ Simple geodesics on a punctured surface ⋮ A variation of McShane's identity for 2-bridge links ⋮ McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential ⋮ Generalized Markoff maps and McShane's identity ⋮ Polynomial automorphisms of \(\mathbb {C}^n\) preserving the Markoff-Hurwitz polynomial ⋮ On the absence of McShane-type identities for the outer space ⋮ Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results ⋮ Necessary and sufficient conditions for McShane's identity and variations ⋮ Geodesics with one self-intersection, and other stories ⋮ On the character variety of the four-holed sphere ⋮ The ${\mathrm {SL}(2,{\mathbb C})}$ character variety of a one-holed torus ⋮ McShane's identity in rank one symmetric spaces

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