Categorical representations of the modular group

被引:0
作者
Cooper, Benjamin [1 ]
机构
[1] Univ Zurich, CH-8057 Zurich, Switzerland
关键词
Knot homology; mapping class groups; braid groups; HOMOLOGY;
D O I
10.1515/forum-2013-0203
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Actions of the modular group on categories are constructed. A hyperelliptic involution is used to convert the braid representations underlying Khovanov homology to representations of the modular group.
引用
收藏
页码:89 / 99
页数:11
相关论文
共 25 条
[1]  
[Anonymous], 1991, TQFT NOTES
[2]  
[Anonymous], 2001, U LECT SERIES
[3]   Khovanov's homology for tangle and cobordisms [J].
Bar-Natan, D .
GEOMETRY & TOPOLOGY, 2005, 9 :1443-1499
[4]   Fast Khovanov homology computations [J].
Bar-Natan, Dror .
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2007, 16 (03) :243-255
[5]  
Birman JS., 1975, Braids, Links, and Mapping Class Groups, DOI DOI 10.1515/9781400881420
[6]   ENHANCED TRIANGULATED CATEGORIES [J].
BONDAL, AI ;
KAPRANOV, MM .
MATHEMATICS OF THE USSR-SBORNIK, 1991, 70 (01) :93-107
[7]   ON THE ALGEBRAICAL BRAID GROUP [J].
CHOW, WL .
ANNALS OF MATHEMATICS, 1948, 49 (03) :654-658
[8]  
Cooper B., 2012, PREPRINT
[9]   Handle Slides and Localizations of Categories [J].
Cooper, Benjamin ;
Krushkal, Vyacheslav .
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013, 2013 (10) :2179-2202
[10]   Categorification of the Jones-Wenzl projectors [J].
Cooper, Benjamin ;
Krushkal, Vyacheslav .
QUANTUM TOPOLOGY, 2012, 3 (02) :139-180