On the character variety of the three–holed projective plane-Reference-Cited by-同舟云学术

On the character variety of the three–holed projective plane

Published:2020-03-03 Issue:4 Volume:24 Page:68-108
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Maloni Sara,Palesi Frédéric

Abstract

We study the (relative) S L ( 2 , C ) \mathrm {SL}(2,\mathbb {C}) character variety of the three-holed projective plane and the action of the mapping class group on it. We describe a domain of discontinuity for this action, which strictly contains the set of primitive stable representations defined by Minsky, and also the set of convex-cocompact characters.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

https://www.ams.org/ecgd/2020-24-04/S1088-4173-2020-00349-5/S1088-4173-2020-00349-5.pdf

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