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

页码：2711 / 2762

页数：52

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