Kuno, Yusuke and Penner, R. C. and Turaev, Vladimir (2013) Marked fatgraph complexes and surface automorphisms. Geometriae Dedicata, 167 (1). pp. 151-166. ISSN 0046-5755. https://resolver.caltech.edu/CaltechAUTHORS:20131205-130456480
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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.
Item Type: | Article | |||||||||||||||
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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. | |||||||||||||||
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Subject Keywords: | Mapping class group; Torelli group; Fatgraph; Johnson homomorphism | |||||||||||||||
Issue or Number: | 1 | |||||||||||||||
Classification Code: | MSC 2000: 20F34; 32G15; 57N05 | |||||||||||||||
Record Number: | CaltechAUTHORS:20131205-130456480 | |||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20131205-130456480 | |||||||||||||||
Official Citation: | Marked fatgraph complexes and surface automorphisms Yusuke Kuno, R. C. Penner, Vladimir Turaev Pages 151-166 | |||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||||||||
ID Code: | 42859 | |||||||||||||||
Collection: | CaltechAUTHORS | |||||||||||||||
Deposited By: | Ruth Sustaita | |||||||||||||||
Deposited On: | 05 Dec 2013 21:19 | |||||||||||||||
Last Modified: | 03 Oct 2019 06:02 |
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