Two-and three-cocycles for Laver tables

  title={Two-and three-cocycles for Laver tables},
  author={Patrick Dehornoy and Victoria Lebed},
We determine all 2and 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. An important tool for constructing a combinatorially meaningful basis of 2-cocycles is the right-divisibility relation on Laver tables, which turns out to be a partial ordering. Introduced by… CONTINUE READING
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