Published December 2013
| Submitted
Journal Article
Open
Marked fatgraph complexes and surface automorphisms
- Creators
- Kuno, Yusuke
- Penner, R. C.
- Turaev, Vladimir
Abstract
Combinatorial aspects of the Torelli–Johnson–Morita theory of surface automorphisms are extended to certain subgroups of the mapping class groups. These subgroups are defined relative to a specified homomorphism from the fundamental group of the surface onto an arbitrary group K. For K abelian, there is a combinatorial theory akin to the classical case, for example, providing an explicit cocycle representing the first Johnson homomophism with target Λ^3 K. Furthermore, the Earle class with coefficients in K is represented by an explicit cocyle.
Additional Information
© 2012 Springer Science+Business Media Dordrecht. Received: 22 August 2012. Accepted: 18 November 2012. Published online: 28 November 2012. This work was done at the Center for Quantum Geometry of Moduli Spaces funded by the Danish National Research Foundation.Attached Files
Submitted - 1201.3808.pdf
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Additional details
- Eprint ID
- 42859
- DOI
- 10.1007/s10711-012-9807-0
- Resolver ID
- CaltechAUTHORS:20131205-130456480
- Danish National Research Foundation
- Created
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2013-12-05Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field