Pure Virtual Braids Homotopic to the Identity Braid

Details Pure Virtual Braids Homotopic to the Identity Braid Pure Virtual Braids Homotopic to the Identity Braid

2007-04-23

arxiv.org/abs/0704.3089v2

Mathematics

Geometric Topology

18 pages, 17 figures Final version, accepted by Fundamenta Mathematicae

Scientific paper

Two virtual link diagrams are homotopic if one may be transformed into the
other by a sequence of virtual Reidemeister moves, classical Reidemeister
moves, and self crossing changes. We recall the pure virtual braid group. We
then describe the set of pure virtual braids that are homotopic to the identity
braid.

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