On homotopy aspects and cablings of virtual pure braid groups
Algebraic Topology
2018-08-30 v1
Abstract
By exploring simplicial structure of pure virtual braid groups, we give new connections between the homotopy groups of the 3-sphere and the virtual braid groups that are related to the theory of Brunnian virtual braids. The group structure of VP_n with n > 4 is determined by VP_3, VP_4 and virtual cablings given by iterated degeneracy operations on the generators and defining relations. The complete proofs will be published in the two forthcoming papers.
Keywords
Cite
@article{arxiv.1808.09786,
title = {On homotopy aspects and cablings of virtual pure braid groups},
author = {Valeriy G. Bardakov and Roman Mikhailov and Jie Wu},
journal= {arXiv preprint arXiv:1808.09786},
year = {2018}
}
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12 pages