Surface framed braids

Abstract

In this paper we introduce the framed pure braid group on $n$ strands of an oriented surface, a topological generalisation of the pure braid group $P_n$. We give different equivalents definitions for framed pure braid groups and we study exact sequences relating these groups with other generalisations of $P_n$, usually called surface pure braid groups. The notion of surface framed braid groups is also introduced.

24 pages ; 7 figures

References in corpus (1)

• Presentations for the punctured mapping class groups in terms of Artin groups

Cited by in corpus (1)

• Hilden Braid Groups