Work

Complex hyperbolic triangle groups of type [𝑚,𝑚,0;3,3,2]

Year: 2020

Type: article

Abstract: In this paper we study discreteness of complex hyperbolic triangle groups of type [m,m,0;3,3,2] [m,m,0;3,3,2] , i.e., groups of isometries of the complex hyperbolic plane generated by three complex reflections of orders 3,3,2 3,3,2 in complex geodesics with pairwise distances m,m,0 m,m,0 . For fixed m m , the parameter space of such groups is of real dimension one. We determine intervals in this parameter space that correspond to discrete and to non-discrete triangle groups.

Source: Conformal Geometry and Dynamics of the American Mathematical Society

DOI: 10.1090/ecgd/348

Authors: Sam Povall, Anna Pratoussevitch

Institutions: University of Liverpool, The University of Melbourne

Language: Latvian

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: International Centre for Theoretical Sciences, University of Liverpool, Engineering and Physical Sciences Research Council

Award: G4320033068