Two-and three-cocycles for Laver tables

@inproceedings{Dehornoy2014TwoandTF,
  title={Two-and three-cocycles for Laver tables},
  author={Patrick Dehornoy and Victoria Lebed},
  year={2014}
}
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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On the algebra of elementary embeddings of a rank into itself

  • R. Laver
  • Advances in Math. 110
  • 1995
Highly Influential
4 Excerpts

Rack shadows and their invariants

  • S. Nelson
  • Introductory lectures on Knot Theory , Kauffmann…
  • 2012

Geometric interpretations of quandle homology

  • J.S.Carter, S. Kamada, M. Saito
  • J. Knot Th. Ramific
  • 2001
2 Excerpts

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