A lantern lemma
Geometric Topology
2014-10-01 v2
Abstract
We show that in the mapping class group of a surface any relation between Dehn twists of the form T_x^j T_y^k = M (M a multitwist) is the lantern relation, and any relation of the form (T_x T_y)^k = M (where T_x commutes with M) is the 2-chain relation.
Cite
@article{arxiv.math/0206120,
title = {A lantern lemma},
author = {Dan Margalit},
journal= {arXiv preprint arXiv:math/0206120},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-46.abs.html