Two- and three-cocycles for Laver tables

Patrick Dehornoy, V. Lebed
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引用次数: 13

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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两圈和三圈的紫菜桌
我们确定了遵从左自分配律的有限结构无穷序列Laver表的所有2环和3环;特别地,我们描述了简单的显式基。这提供了许多新的正辫不变量,并为进一步潜在的拓扑应用铺平了道路。同时,我们建立并研究了由右可除关系给出的Laver表上的一个偏序。
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