Published December 2020
| Submitted
Journal Article
Open
Non-realizability of the Torelli group as area-preserving homeomorphisms
- Creators
-
Chen, Lei
- Markovic, Vladimir
Abstract
Nielsen realization problem for the mapping class group Mod (S_g) asks whether the natural projection p_g: Homeo + (S_g) → Mod (S_g) has a section. While all the previous results use torsion elements in an essential way, in this paper, we focus on the much more difficult problem of realization of torsion‐free subgroups of Mod (S_g). The main result of this paper is that the Torelli group has no realization inside the area‐preserving homeomorphisms.
Additional Information
© 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence. Received 20 April 2019; revised 31 March 2020; published online 28 June 2020. V. Markovic was supported by the Simons Investigator Award 409745 from the Simons Foundation. We are in debt to the anonymous referee for many useful suggestions, extensive comments, in particular for schooling us about rotation numbers. We also thank Danny Calegari for useful discussions.Attached Files
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Additional details
- Eprint ID
- 104419
- DOI
- 10.1112/jlms.12340
- Resolver ID
- CaltechAUTHORS:20200717-084150079
- 409745
- Simons Foundation
- Created
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2020-07-17Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field