On the character variety of the three-holed projective plane

Sara Maloni; Frederic Palesi

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arXiv · 1509.08341

On the character variety of the three-holed projective plane

Sara Maloni·Frederic Palesi

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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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Sara Maloni, Frederic Palesi. 2015-09-28. On the character variety of the three-holed projective plane. https://arxiv.org/abs/1509.08341

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