Brunnian Braids on Surfaces

2009/09/18 by В. Г. Бардаков, Roman Mikhailov, Bardakov, V. G. +5 · 2 citations
Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #Algebraic structures and combinatorial models

paper · doi:10.48550/arxiv.0909.3387

Abstract

We determine a set of generators for the Brunnian braids on a general surface M for M\not=S² or \RP². For the case M=S² or \RP², a set of generators for the Brunnian braids on M is given by our generating set together with the homotopy groups of a 2-sphere.

Cited by

• On symmetric commutator subgroups, braids, links and homotopy groups
• A combinatorial description of homotopy groups of spheres

Related

• On Cohen braids
• On presentation of Surface Braid Groups
• Applications of Braid Group Techniques to algebraic Surfaces, New examples
• Braid Group, Algebraic Surfaces and Fundamental Groups of complements of Branch Curves
• Brunnian Braids and Lie Algebras