Positive factorizations of symmetric mapping classes
Geometric Topology
2017-10-19 v2
Abstract
We study Question 7.9 in the paper "Monoids in the mapping class group" by Etnyre and Van Horn-Morris; whether a symmetric mapping class admitting a positive factorization is a lift of a quasi-positive braid. We answer affirmatively for mapping classes satisfying certain cyclic conditions.
Keywords
Cite
@article{arxiv.1610.01122,
title = {Positive factorizations of symmetric mapping classes},
author = {Tetsuya Ito and Keiko Kawamuro},
journal= {arXiv preprint arXiv:1610.01122},
year = {2017}
}
Comments
19 pages, 4 figures