On PM-mapping class monoids
Combinatorics
2019-09-04 v1 Algebraic Topology
Group Theory
Abstract
In this paper, we introduce PM-mapping class monoids. Braid groups and mapping class groups have many features in common. Similarly to the notion of braid PM-monoid, PM-mapping class monoid is defined. This construction is an analogy of inverse mapping class monoid defined by R. Karoui and V. V. Vershinin. As the main result, we give the analog of the Dehn-Nilsen-Baer theorem.
Keywords
Cite
@article{arxiv.1909.00921,
title = {On PM-mapping class monoids},
author = {Toshinori Miyatani},
journal= {arXiv preprint arXiv:1909.00921},
year = {2019}
}
Comments
18 pages, 10 figures