INTERSECTION OF CURVES ON SURFACES AND THEIR APPLICATIONS TO MAPPING CLASS GROUPS

被引：0
作者：
Kawazumi, Nariya [1 ]
Kuno, Yusuke [2 ]
机构：
[1] Univ Tokyo, Dept Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
[2] Tsuda Coll, Dept Math, Kodaira, Tokyo 1878577, Japan
来源：
ANNALES DE L INSTITUT FOURIER | 2015年 / 65卷 / 06期
关键词：
Goldman bracket; Turaev cobracket; Lie bialgebra; mapping class group; Dehn twist; Johnson homomorphisms; LOOPS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce an operation which measures the self intersections of paths on an oriented surface. As applications, we give a criterion of the realizability of a generalized Dehn twist, and derive a geometric constraint on the image of the Johnson homomorphisms.
引用
收藏
页码：2711 / 2762
页数：52
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