English

Alexander- and Markov-type theorems for virtual trivalent braids

Geometric Topology 2019-06-04 v2

Abstract

We prove Alexander- and Markov-type theorems for virtual spatial trivalent graphs and virtual trivalent braids. We provide two versions for the Markov-type theorem: one uses an algebraic approach similar to the case of classical braids and the other one is based on L-moves.

Keywords

Cite

@article{arxiv.1804.09919,
  title  = {Alexander- and Markov-type theorems for virtual trivalent braids},
  author = {Carmen Caprau and Abigayle Dirdak and Rita Post and Erica Sawyer},
  journal= {arXiv preprint arXiv:1804.09919},
  year   = {2019}
}

Comments

30 pages, many figures; this version of the paper includes suggestions from referee

R2 v1 2026-06-23T01:36:32.773Z