Geometric intersection in representations of mapping class groups of surfaces
Geometric Topology
2016-12-13 v4 Group Theory
Abstract
We show that the detection of geometric intersection in an arbitrary representation of the mapping class group of surface implies the injectivity of that representation up to center, and vice versa. As an application, we discuss the geometric intersection in the Johnson filtration. Also, we further consider the problem of detecting the geometric intersection between separating simple closed curves in a representation.
Cite
@article{arxiv.1504.03052,
title = {Geometric intersection in representations of mapping class groups of surfaces},
author = {Yasushi Kasahara},
journal= {arXiv preprint arXiv:1504.03052},
year = {2016}
}
Comments
8 pages, 1 figure. A few corrections and clarifications; the final version