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Article Dans Une Revue Groups, Geometry, and Dynamics Année : 2015

On the character variety of the four-holed sphere

Résumé

We study the (relative) SL(2,C) character varieties of the four-holed sphere and the action of the mapping class group on it. We describe a domain of discontinuity for this action, and, in the case of real characters, show that this domain of discontinuity may be non-empty on the components where the relative euler class is non-maximal.

Dates et versions

hal-00821879 , version 1 (14-05-2013)

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Sara Maloni, Frederic Palesi, Ser Peow Tan. On the character variety of the four-holed sphere. Groups, Geometry, and Dynamics, 2015, 9 (3), pp.737-782. ⟨10.4171/GGD/326⟩. ⟨hal-00821879⟩
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