paper

Special elliptic isometries, relative SU(2,1)-character varieties, and bendings

arXiv:1908.10434 · doi:10.1007/s12220-020-00512-0

Abstract

We study relations between special elliptic isometries in the complex hyperbolic plane. Relations of lengths 2, 3, and 4 are fully classified. Some relative SU(2,1)-character varieties of the quadruply punctured sphere are described and applied to the study of length 5 relations.

31 pages, 11 figures