McShane-type identities for quasifuchsian representations of nonorientable surfaces

Abstract

We show that Norbury's McShane identity for nonorientable cusped hyperbolic surfaces N generalizes to quasifuchsian representations of pi_1(N) as well as pseudo-Anosov mapping Klein bottles with singular fibers given by N.

42 pages, 9 figures. Significant corrections and updates. The final version of this preprint has been published in the IMRN

References in corpus (2)

• Hyperbolic Structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle
• Foliations for Quasi-Fuchsian 3-Manifolds

Cited by in corpus (1)

• McShane identities for Higher Teichmüller theory and the Goncharov-Shen potential