Two- and three-cocycles for Laver tables
K-Theory and Homology
2014-02-04 v2
Abstract
We determine all 2- and 3-cocycles for Laver tables, an infinite sequence of finite structures obeying the left-selfdistributivity law; in particular, we describe simple explicit bases. This provides a number of new positive braid invariants and paves the way for further potential topological applications. Incidentally, we establish and study a partial ordering on Laver tables given by the right-divisibility relation.
Cite
@article{arxiv.1401.2335,
title = {Two- and three-cocycles for Laver tables},
author = {Patrick Dehornoy and Victoria Lebed},
journal= {arXiv preprint arXiv:1401.2335},
year = {2014}
}