Double pants decompositions revisited
Geometric Topology
2015-09-29 v1 Combinatorics
Abstract
Double pants decompositions were introduced in our paper "Double pants decompositions of 2-surfaces" (Mosc. Math. J. 11 (2011), no. 2, 231-258, arXiv:1005.0073), together with a flip-twist groupoid acting on these decompositions. It was shown that flip-twist groupoid acts transitively on a certain topological class of the decompositions, however, recently Randich discovered a serious mistake in the proof. In this note we present a new proof of the result, accessible without reading the initial paper.
Keywords
Cite
@article{arxiv.1509.08066,
title = {Double pants decompositions revisited},
author = {Anna Felikson and Sergey Natanzon},
journal= {arXiv preprint arXiv:1509.08066},
year = {2015}
}
Comments
8 pages, 5 figures