Realization of the mapping class group by homeomorphisms
Markovic, Vladimir. (2007) Realization of the mapping class group by homeomorphisms. Inventiones Mathematicae, Vol.168 (No.3). pp. 523-566. ISSN 0020-9910Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s00222-007-0039-0
In this paper, we show that the mapping class group of a closed surface can not be geometrically realized as a group of homeomorphisms of that surface. More precisely, let Pr : Homeo(M) -> MC(M) denote the standard projection of the group of homeomorphisms to the mapping class group of a closed surface M of genus g > 5. We show that there is no homomorphism epsilon : MC(M) -> Homeo(M), such that Pr circle epsilon is the identity. This answers a question by Thurston (see ).
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Mathematics|
|Journal or Publication Title:||Inventiones Mathematicae|
|Official Date:||June 2007|
|Number of Pages:||44|
|Page Range:||pp. 523-566|
|Access rights to Published version:||Restricted or Subscription Access|
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