A lantern lemma

Mathematics – Geometric Topology

Scientific paper

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Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-46.abs.html

Scientific paper

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.

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