AN EXPANSION OF THE JONES REPRESENTATION OF GENUS 2 AND THE TORELLI GROUP II

Yasushi Kasahara

首页> 外文期刊>Journal of knot theory and its ramifications >AN EXPANSION OF THE JONES REPRESENTATION OF GENUS 2 AND THE TORELLI GROUP II

【24h】

AN EXPANSION OF THE JONES REPRESENTATION OF GENUS 2 AND THE TORELLI GROUP II

机译：延长2岁和Torelli组II的Jones表示

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We continue to study the algebraic property of the linear representation of the mapping class group of a closed oriented surface of genus 2 constructed by V. F. R. Jones. We consider the perturbation of the representation at the involved parameter t = 1. This perturbation naturally induces a filtration on the Torelli group which is coarser than its lower central series. We present some results on the structure of the associated graded quotients. Our arguments follow the same line of our previous paper which dealt with the perturbation at t = - 1. However, the obtained results may still suggest a new aspect of the representation.

机译：我们继续研究由V.F. R. Jones构建的封闭导向的封闭面表面的映射类组的线性表示的代数特性。我们考虑所涉及的参数T = 1的表示的扰动。这种扰动自然地在Torelli组上引起了比其下部系列更粗糙的腐蚀。我们在相关分级商的结构上提出了一些结果。我们的论点遵循我们之前论文的相同线，该文件在T = - 1处涉及扰动。但是，获得的结果可能仍然表明了代表的新方面。

著录项

来源
《Journal of knot theory and its ramifications》 |2004年第2期|共10页
作者
Yasushi Kasahara;
展开▼
作者单位

Department of Electronic and Photonic System Engineering Kochi University of Technology Tosayamada-cho Kagami-gun Kochi 782-8502 Jan;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类拓扑（形势几何学）;
关键词
Jones representation; mapping class group; Torelli group;

机译：琼斯代表;映射类组;Torelli Group;

相似文献

外文文献
中文文献
专利

1. AN EXPANSION OF THE JONES REPRESENTATION OF GENUS 2 AND THE TORELLI GROUP II [J] . Yasushi Kasahara Journal of knot theory and its ramifications . 2004,第2期

机译：延长2岁和Torelli组II的Jones表示
2. On a Family of Subgroups of the Teichm??ller Modular Group of Genus Two Obtained from the Jones Representation [J] . Morishita Masanori Journal of mathematical sciences, The University of Tokyo . 1997,第2期

机译：从琼斯表示中获得的两个属的蒂克姆？费勒模块群的一个子族
3. The universal R-matrix, Burau representation, and the Melvin-Morton expansion of the colored Jones polynomial [J] . Rozansky L. Advances in Mathematics . 1998,第1期

机译：通用R矩阵，Burau表示和彩色琼斯多项式的Melvin-Morton展开
4. Present distribution of the genus Elodea in the Alsatian Upper Rhine floodplain (France) with a special focus on the expansion of Elodea nuttallii St. John during recent decades [C] . Sabine Greulich, Michele Tremolieres International Symposium on Aquatic Weeds . 2006

机译：在大型莱茵河洪泛区（法国）的目前分布于大型莱茵河（法国），特别关注近几十年来Elodea Nuttallii St. John的扩张
5. Theta Functions and the Structure of Torelli Groups in Low Genus [D] . Kordek, Kevin A. 2015

机译：低类的theta函数和Torelli基团的结构
6. The genus Unixenus Jones 1944 (Diplopoda Penicillata Polyxenida) in Australia [O] . Megan Short, Cuong Huynh 2011

机译：属 Unixenus Jones1944年（DiplopodaPenicillataPolyxenida）在澳大利亚
7. ADDENDUM TO: “AN EXPANSION OF THE JONES REPRESENTATION OF GENUS 2 AND THE TORELLI GROUP” [O] . Yasushi Kasahara 2016

机译：附录：“扩大第2代和TORELLI集团的琼斯代表”
8. The Expansion of Physical Quantities in Terms of the Irreducible Representations of the Scale-Euclidean Group and Applications to the Construction of Scale-Invariant Correlation Functions. Part II. Three-Dimensional Problems; Generalizations of the Helmholtz Vector Decomposition Theorem [R] . Moses, H. E., Quesada, A. F. 1972

机译：用尺度欧氏群的不可约表示法扩展物理量及其在尺度不变相关函数构造中的应用。第二部分。三维问题;亥姆霍兹矢量分解定理的推广

AN EXPANSION OF THE JONES REPRESENTATION OF GENUS 2 AND THE TORELLI GROUP II

摘要

著录项

相似文献

相关主题

期刊订阅