On the character variety of the four-holed sphere | Zendy

Sara Maloni | Zendy; Frédéric Palesi | Zendy; Ser Peow Tan | Zendy

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On the character variety of the four-holed sphere

Author(s) -

Sara Maloni,

Frédéric Palesi,

Ser Peow Tan

Publication year - 2015

Publication title -

groups geometry and dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.05

H-Index - 25

eISSN - 1661-7215

pISSN - 1661-7207

DOI - 10.4171/ggd/326

Subject(s) - discontinuity (linguistics) , character (mathematics) , mathematics , action (physics) , domain (mathematical analysis) , mapping class group , class (philosophy) , variety (cybernetics) , pure mathematics , group (periodic table) , euler's formula , combinatorics , geometry , mathematical analysis , surface (topology) , computer science , physics , artificial intelligence , statistics , quantum mechanics

45 pages, 1 figureInternational audienceWe 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

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