映射类群前置与相关 Relue · 1 篇内容 · 0 赞同 · 0 订阅 专栏介绍 已更内容 映射类群前置与相关 专栏作者 关注 知乎影响力 获得80 次赞同 · 215 次喜欢 · 145 次收藏 1.1 Mapping Class Group ABC To study about mapping class group, an of a topological space, it is bound to have some...
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...
Mapping Class Group With the structure of compact-open topology, it is possible for us to consider the topological structure of a compact Hausdorff connected surface. [Def](Mapping Class Group) LetSbe a compact, connected, orientable surface, which can be obtained by aSgwith genusgremovingbopen...
We apply our construction to prove that the mapping class group of a once punctured surface virtually admits injective and irreducible morphisms into the mapping class group of a closed surface of higher genus. This is a preview of subscription content, log in via an institution to check access...
mapping class group (Rev #9, changes) D Group 被引量: 0发表: 0年 BRAID STATISTICS IN LOCAL QUANTUM THEORY It determines a projective representation of SL(2, u2124) and, presumably, of the mapping class group of any Riemann surface, even if t... J Fr?Hlich,F Gabbiani - 《Reviews...
The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same...
We show that the mapping class group of a closed surface of genus 2 does not satisfy the Kazhdan property by constructing subgroups of finite index having a nonvanishing first cohomology group. We also construct some subgroups of finite ... Taherkhani,Feraydoun - 《Experimental Mathematics》 被...
1.4 Mapping class group dynamics A powerful tool to investigate the holonomy problem is the mapping class group action on the associated character variety. The latter parametrises the set of all representations of the fundamental group of a compact surface into the affine group [Math Processing Erro...
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...
For the proof, we find in any such subgroup explicit free group generators which are "short" in any word metric. Besides bounding growth, this allows a bound on the return probability of simple random walks.关键词: Mapping class group uniform exponential growth ...