Double pants decompositions revisited

27 Sep 2015  ·  Felikson Anna, Natanzon Sergey ·

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. read more

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Geometric Topology Combinatorics