On Fenchel–Nielsen Coordinates of Surface Group Representations into SU(3,1)-Reference-Cited by-同舟云学术

On Fenchel–Nielsen Coordinates of Surface Group Representations into SU(3,1)

Published:2017-03-01 Issue:1 Volume:165 Page:1-23
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

GONGOPADHYAY KRISHNENDU,PARSAD SHIV

Abstract

AbstractLet Σgbe a compact, connected, orientable surface of genusg≥ 2. We ask for a parametrisation of the discrete, faithful, totally loxodromic representations in the deformation space Hom(π1(Σg), SU(3, 1))/SU(3, 1). We show that such a representation, under some hypothesis, can be determined by 30g− 30 real parameters.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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