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arXiv · 1401.2335

Two- and three-cocycles for Laver tables

Patrick Dehornoy·Victoria Lebed
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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.

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Patrick Dehornoy, Victoria Lebed. 2014-01-10. Two- and three-cocycles for Laver tables. https://arxiv.org/abs/1401.2335

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