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Moscow Mathematical Journal, 2017, Volume 17, Number 1, Pages 51–58
DOI: https://doi.org/10.17323/1609-4514-2017-17-1-51-58 (Mi mmj625) 		 
Double pants decompositions revisited

Anna Feliksona, Sergey Natanzonbc

a Department of Mathematical Sciences, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, UK
b National Research University Higher School of Economics (HSE), 20 Myasnitskaya ulitsa, Moscow 101000, Russia
c Institute for Theoretical and Experimental Physics (ITEP), 25 B. Cheremushkinskaya, Moscow 117218, Russia
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DOI: https://doi.org/10.17323/1609-4514-2017-17-1-51-58
Abstract: Double pants decompositions were introduced by the authors in 2011, 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.
Key words and phrases: pants decomposition, Heegaard splitting, curve complex.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00409
Research of the second named author is partially supported by RFBR grant 16-01-00409.
Received: October 6, 2015; in revised form November 30, 2016
Bibliographic databases:
Document Type: Article
MSC: 57M50
Language: English
Citation: Anna Felikson, Sergey Natanzon, “Double pants decompositions revisited”, Mosc. Math. J., 17:1 (2017), 51–58
Citation in format AMSBIB
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\by Anna~Felikson, Sergey~Natanzon
\paper Double pants decompositions revisited
\jour Mosc. Math.~J.
\yr 2017
\vol 17
\issue 1
\pages 51--58
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\crossref{https://doi.org/10.17323/1609-4514-2017-17-1-51-58}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3634520}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000402641900004}
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