arXiv 1802.030692018-02math.GTmath.DG

McShane-type identities for quasifuchsian representations of nonorientable surfaces

Yi Huang

备注：: 42 pages, 9 figures. Significant corrections and updates. The final version of this preprint has been published in the IMRN
发表信息：: International Mathematics Research Notices, Vol. 2021(3), (2021), Pages 1760-1808

英文摘要：

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.

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