Intersections of curves on surfaces and their applications to mapping class groups
Geometric Topology
2013-02-28 v3 Algebraic Topology
Abstract
We introduce an operation that measures the self intersections of paths on a 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 homomorphism.
Cite
@article{arxiv.1112.3841,
title = {Intersections of curves on surfaces and their applications to mapping class groups},
author = {Nariya Kawazumi and Yusuke Kuno},
journal= {arXiv preprint arXiv:1112.3841},
year = {2013}
}
Comments
40 pages, 13 figures