Mapping Class Group 映射类群前置与相关 Relue · 1 篇内容 1.1 Mapping Class Group ABC To study about mapping class group, an of a topological space, it is bound to have some knowledge on the topological structure, which is a group of homeomorphi…...
Big Heegaard Distance Implies Finite Mapping Class Group Hossein Namazi 1 Princeton University, Fine Hall, Washington RD, Princeton, NJ 08544-1000 Abstract We show that if M is a closed three manifold with a Heegaard splitting with suf- ficiently big Heegaard distance then the subgroup of the...
Let \\\(\\\psi \\\epsilon Mod(S)\\\) denote an element in its mapping class group. In this thesis, we study the action of \\\(\\\psi\\\) on \\\(H_1(ilde{S}, \\\mathbb{C})\\\), where \\\(ilde{S}\\\)varies over the finite covers of S to which \\\(\\\psi...
These mapping class group actions are associated with edge slides in embedded ribbon graphs that generalise chord slides in chord diagrams. They can be described simply and concretely in terms of generating Dehn twists. Under certain assumptions on the symmetric monoidal category and the Hopf monoid,...
arXiv:0710.1329v1 [math.QA] 5 Oct 2007Conformal field theory and mapping class groupsTerry GannonMathematics Dept, U of Alberta, CanadaAbstract. Rational conformal field theories produce a tower offinite-dimensional representations of surface mapping class groups,acting on the conformal blocks of the...
9. Hyperbolic Groups 10. Ends of Groups 11. Asymptotic Dimension 12. Growth of Groups Part 4. Examples 13. Coxeter Groups 14. Right-Angled Artin Groups 15. Lamplighter Groups 16. Thompson’s Group 17. Mapping Class Groups 18. Braids Bibliography Index Subjects...
We study Donaldson-Thomas theory associated to a triangulated surface. We show that the generating function of the Donaldson-Thomas invariants is "invariant" under an action of the mapping class group, which is identified with the mapping class group action in the (decorated) Teichmüller theory. ...
Subgroups of mapping class groups from the geometrical viewpoint — from André Weil's 1940 letter to Simone Weil 1 1 The reluctant analogy We survey here the analogy between Kleinian groups and subgroups of the mapping class group Mod(S) of an analytically finite hyperbolic surface S. This ...
In this paper, we show that the mapping class group of a closed surface can not be geometrically realized as a group of homeomorphisms of that surface. More precisely, let $Pr:mathcal{H}textit{omeo}(M)tomathcal{M}mathcal{C}(M)$ denote the standard projection of the group of homeomorp...
On Reducibility of Mapping Class Group Representations: The SU(N) Case We review and extend the results of [1] that gives a condition for\nreducibility of quantum representations of mapping class groups constructed\nfrom Reshetikhin-Turaev type topological quantum field theories based on\nmodular ...