Virtual Tribrackets
Geometric Topology
2018-12-07 v2 Quantum Algebra
Abstract
We introduce virtual tribrackets, an algebraic structure for coloring regions in the planar complement of an oriented virtual knot or link diagram. We use these structures to define counting invariants of virtual knots and links and provide examples of the computation of the invariant; in particular we show that the invariant can distinguish certain virtual knots.
Keywords
Cite
@article{arxiv.1803.03210,
title = {Virtual Tribrackets},
author = {Sam Nelson and Shane Pico},
journal= {arXiv preprint arXiv:1803.03210},
year = {2018}
}
Comments
10 pages. Version 2 includes typos corrections and a new example suggested by the referee