English

On the character variety of the three-holed projective plane

Geometric Topology 2015-09-29 v1

Abstract

We study the (relative) SL(2,C) character varieties of the three-holed projective plane and the action of the mapping class group on them. 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. We consider the relationship with the previous work of the authors and S. P. Tan on the character variety of the four-holed sphere.

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Cite

@article{arxiv.1509.08341,
  title  = {On the character variety of the three-holed projective plane},
  author = {Sara Maloni and Frederic Palesi},
  journal= {arXiv preprint arXiv:1509.08341},
  year   = {2015}
}

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27 pages