EMBEDDING THE BRAID GROUP IN MAPPING CLASS GROUPS

被引：13

作者：

Szepietowski, Blazej ^{[1
]}

机构：

[1] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland

来源：

PUBLICACIONS MATEMATIQUES | 2010年 / 54卷 / 02期

关键词：

Mapping class group; braid group; non-geometric embedding; GEOMETRIC SUBGROUPS; HOMEOMORPHISMS; SURFACES;

D O I：

10.5565/PUBLMAT_54210_04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Dehm 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 cover.

引用

页码：359 / 368

页数：10

共 12 条

[1] Actions of the Braid Group, and New Algebraic Proofs of Results of Dehornoy and Larue [J].