The Mapping Class Group
Presentations of the Mapping Class Group
... the mapping class group for punctured or bordered surfaces ...the mapping class group aside from in the connected boundary ...
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Random walks on the mapping class group
... In the first section, we will talk about random walks on topological spaces in general and we will try to give some example to justify the theorems that we will not be able to prove later on. Here we will use various ...
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A combination theorem for Veech subgroups of the mapping class group
... the mapping class group isomorphic to the fundamental group of a closed surface of genus at least 2 for which all non-identity elements are pseudo-Anosov? The rest of the paper is organized as ...
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Harmonic measures for distributions with finite support on the mapping class group are singular
... general mapping class groups, the appropriate quasi-isometric mod- els are the marking ...the mapping class group random walk to the curve ...
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Conjugacy Classes of the Hyperelliptic Mapping Class Group of Genus 2 and 3
... Keywords: mapping class group, hyperelliptic, Siegel modular group, Jones representation, Meyer's function, Thurston type AMS Subject Classi cation: 57N05, 57M50 We present tables of conjugacy ...
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The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface
... SPACE OF GEODESIC RAYS OF A PUNCTURED HYPERBOLIC SURFACE BRIAN H. BOWDITCH AND MAKOTO SAKUMA Abstract. Let Σ be a complete finite-area orientable hyperbolic surface with one cusp, and let R be the space of complete ...
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A note on the abelianizations of finite-index subgroups of the mapping class group
... The goal of this note is to offer some evidence for this conjecture. If G is a group and g ∈ G, then we will denote by [g] G the corresponding element of H 1 (G; R). Also, for a simple closed curve γ on Σ g,b p , ...
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REPRESENTATIONS OF MAPPING CLASS GR Title OBTAINED FROM THE MODULAR INVARIANC PROPERTY OF CYCLIC GROUP ASSOCIATIO SCHEMES
... 3. Mapping class groups Let $\Sigma_{9}$ be an orientable surface of gcriiis $g$ and $\mathfrak{H}_{9}$ be $t\}_{1}e$ set of all the orientation preserving homeomorphisms of $\Sigma_{9}$ ...The ...
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ASYMPTOTIC DIMENSION OF BIG MAPPING CLASS GROUPS
... big mapping class groups are not countably generated, certain big mapping class groups can be generated by a coarsely bounded set and have a well defined quasi- isometry ...big mapping ...
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A SHORT INTRODUCTION TO MAPPING CLASS GROUPS. Contents
... In order to prove this, we will need the following result which describes how the mapping class group changes when one removes an open disk from the surface. Theorem 2.3 (Birman’s exact sequence). ...
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Uniformly exponential growth and mapping class groups of surfaces
... the mapping class group of an orientable surface with finitely generated fundamental group has uniformly exponential ...such mapping class groups are not ...
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Large scale rigidity properties of the mapping class groups
... the mapping class group of a compact orientable ...a mapping class group into itself agrees up to bounded distance with a left ...the mapping class groups are ...
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Structure of the mapping class groups of surfaces: a survey and a prospect
... the mapping class groups of surfaces mainly from the point of view of topol- ...the mapping class group and invariants of 3–manifolds, the unstable cohomology of the moduli space of ...
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A Brief Introduction to Mapping Class Groups. Yair N. Minsky
... the mapping class group is that of coarse geom- etry: As a finitely generated group, Mod(S) admits a word metric, or equivalently the metric induced from its Cayley graph, once a generating ...
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Command Class Mapping
... Association Group 1 – 5 nodes maximum Association Group 2 through 255 – Not supported Cooper Z-Wave devices can be associated to other Z-Wave devices for the purpose of sending commands to these other ...
Free subgroups of surface mapping class groups
... of mapping class groups have attracted considerable attention from a number of authors over a number of ...pseudo-Anosov mapping classes with pairwise distinct axes freely generates a free ...
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THE MAPPING CLASS GR OUP AND SPECIAL LOCI IN
... This thesis builds upon previous work by Gonz alez-D ez, Harvey and Shneps. Gonz alez-D ez and Harvey [GH92℄ onsidered these irreduible subvarieties for genus g 2 urves without marked points over the omplex numbers, ...
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Share Class Conversion Steering Group
... and mapping being ...share class and when they move they will see their old share class on the new platform, and then the old converted to the ...
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CAS: NCCI’s 2007 Hazard Group Mapping
... hazard group assignment for a third of the ...each class. When decid- ing whether to reassign a class, we considered whether the feedback on that class was consis- ...each class and ...
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Mapping the Post-communist Class Structure: Findings from a New Multidimensional Hungarian Class Survey
... middle class,” also present in other post-communist ...middle class, supporting the economic and political post-communist transformation, has largely failed in ...middle class: the affluent and the ...
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