Geodesic
A lantern lemma
Margalit, Dan1
1Department of Mathematics, 5734 S University Ave, Chicago, IL 60637-1514, USA
Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1179-1195
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We show that in the mapping class group of a surface any relation between Dehn twists of the form TxjTyk = M (M a multitwist) is the lantern relation, and any relation of the form (TxTy)k = M (where Tx commutes with M) is the 2–chain relation.

DOI : 10.2140/agt.2002.2.1179
Keywords: mapping class group, Dehn twist, lantern relation

Margalit, Dan  1

1 Department of Mathematics, 5734 S University Ave, Chicago, IL 60637-1514, USA 
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Margalit, Dan. A lantern lemma. Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1179-1195. doi: 10.2140/agt.2002.2.1179

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