Delta-structures on mapping class groups and braid groups-Reference-Cited by-同舟云学术

Delta-structures on mapping class groups and braid groups

Published:2013-11-25 Issue:4 Volume:366 Page:1879-1903
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Berrick A.,Hanbury E.,Wu J.

Abstract

We describe a Delta-group structure on the mapping class groups of surfaces, and show that it is compatible with the Delta-group structures of the braid groups of surfaces given by Berrick-Cohen-Wong-Wu. We then prove an isomorphism theorem relating these two Delta-groups. This is the first of a pair of papers on this topic.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2014-366-04/S0002-9947-2013-05889-8/S0002-9947-2013-05889-8.pdf

Reference22 articles.

1. Configurations, braids, and homotopy groups;Berrick, A. J.;J. Amer. Math. Soc.,2006

2. A. J. Berrick and E. Hanbury: Simplicial structures and normal forms for mapping class groups and braid groups, preprint (2012).

3. A. J. Berrick, E. Hanbury and J. Wu: Brunnian subgroups of mapping class groups and braid groups, Proc. London Math. Soc. 107 (2013), 875–906.

4. Introduction to configuration spaces and their applications;Cohen, Frederick R.,2010

5. On braid groups, free groups, and the loop space of the 2-sphere;Cohen, F. R.,2004

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1. Simplicial structures and normal forms for mapping class groups and braid groups;Algebraic & Geometric Topology;2014-12-31