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• W2964352362 startingPage "3809" @default.
• W2964352362 abstract "The space of topological decompositions into triangulations of a surface has a natural graph structure where two triangulations share an edge if they are related by a so-called flip. This space is a sort of combinatorial Teichmüller space and is quasi-isometric to the underlying mapping class group. We study this space in two main directions. We first show that strata corresponding to triangulations containing a same multiarc are strongly convex within the whole space and use this result to deduce properties about the mapping class group. We then focus on the quotient of this space by the mapping class group to obtain a type of combinatorial moduli space. In particular, we are able to identity how the diameters of the resulting spaces grow in terms of the complexity of the underlying surfaces." @default.
• W2964352362 created "2019-07-30" @default.
• W2964352362 creator A5000324708 @default.
• W2964352362 creator A5060774776 @default.
• W2964352362 date "2019-06-17" @default.
• W2964352362 modified "2023-09-24" @default.
• W2964352362 title "The geometry of flip graphs and mapping class groups" @default.
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• W2964352362 doi "https://doi.org/10.1090/tran/7356" @default.
• W2964352362 hasPublicationYear "2019" @default.
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