Publicacions Matemàtiques

Embedding the braid group in mapping class groups

Błażej Szepietowski

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Abstract

Motivated by a question of B. Wajnryb we construct embeddings of the braid group in mapping class groups of surfaces, which are not geometric in the sense that the images of standard generators are not Dehn twists. Our construction uses non-orientable surfaces and the fact that the mapping class group of such a surface embeds via lifting of homeomorphisms in the mapping class group of its orientable double cove

Article information

Source
Publ. Mat., Volume 54, Number 2 (2010), 359-368.

Dates
First available in Project Euclid: 28 June 2010

Permanent link to this document
https://projecteuclid.org/euclid.pm/1277731537

Mathematical Reviews number (MathSciNet)
MR2675928

Zentralblatt MATH identifier
1217.20024

Subjects
Primary: 20F36: Braid groups; Artin groups
Secondary: 57N05: Topology of $E^2$ , 2-manifolds 20F38: Other groups related to topology or analysis

Keywords
Mapping class group braid group non-geometric embedding

Citation

Szepietowski, Błażej. Embedding the braid group in mapping class groups. Publ. Mat. 54 (2010), no. 2, 359--368. https://projecteuclid.org/euclid.pm/1277731537


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