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MR2952770 57N70 (57M27 57R15)
Habiro, Kazuo; Massuyeau, Gwénaël From mapping class groups to monoids of homology cobordisms: a survey. Handbook of Teichmüller theory. Volume III, 465–529, IRMA Lect. Math. Theor. Phys., 17, Eur. Math. Soc., Zürich, 2012.
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