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The mapping class group cannot be realized by homeomorphisms

Markovic, Vladimir and Šarić, Dragomir (2008) The mapping class group cannot be realized by homeomorphisms. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20170509-064355253

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Abstract

Let M be a closed surface. By Homeo(M) we denote the group of orientation preserving homeomorphisms of M and let MC(M) denote the Mapping class group. In this paper we complete the proof of the conjecture of Thurston that says that for any closed surface M of genus g ≥ 2, there is no homomorphic section є : MC(M) → Homeo(M) of the standard projection map P : Homeo(M) → MC(M).


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/0807.0182arXivDiscussion paper
Additional Information:(Submitted on 1 Jul 2008)
Classification Code:MSC: 20H10
Record Number:CaltechAUTHORS:20170509-064355253
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170509-064355253
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77280
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 May 2017 21:58
Last Modified:03 Oct 2019 17:55

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