English

Invariants for trivalent tangles and handlebody-tangles

Geometric Topology 2019-06-04 v2

Abstract

An enhanced trivalent tangle is a trivalent tangle with some of its edges labeled. We use enhanced trivalent tangles and classical knot theory to provide a recipe for constructing invariants for trivalent tangles, and in particular, for knotted trivalent graphs. Our method also yields invariants of, what we refer to as, enhanced handlebody-tangles and enhanced handlebody-links.

Keywords

Cite

@article{arxiv.1806.06435,
  title  = {Invariants for trivalent tangles and handlebody-tangles},
  author = {Carmen Caprau},
  journal= {arXiv preprint arXiv:1806.06435},
  year   = {2019}
}

Comments

12 pages, 7 figures; typos have been corrected and suggestions from the referee have been included

R2 v1 2026-06-23T02:32:31.596Z