McShane's Identity in Rank One Symmetric Spaces

Details McShane's Identity in Rank One Symmetric Spaces McShane's Identity in Rank One Symmetric Spaces

2012-03-27

arxiv.org/abs/1203.5901v1

Mathematics

Geometric Topology

27 pages

Scientific paper

In this paper we study McShane's identity in real and complex hyperbolic
spaces and obtain various generalizations of the identity for representations
of surface groups into the isometry groups of rank one symmetric spaces. Our
methods unify most of the existing methods used in the existing literature for
proving this class of identities.

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