On the character variety of the three–holed projective plane

Maloni, Sara; Palesi, Frédéric

doi:10.1090/ecgd/349

On the character variety of the three–holed projective plane
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by Sara Maloni and Frédéric Palesi

Conform. Geom. Dyn. 24 (2020), 68-108

DOI: https://doi.org/10.1090/ecgd/349

Published electronically: March 3, 2020

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Abstract:

We study the (relative) $\mathrm {SL}(2,\mathbb {C})$ 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.

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