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A cubic defining algebra for the Links-Gould polynomial
We define a finite-dimensional cubic quotient of the group algebra of the braid group, endowed with a (essentially unique) Markov trace which affords the Links-Grould... -
Braids and crossed modules
18 pages -
Foundations of Garside Theory
This text consists of the introduction, table of contents, and bibliography of a long manuscript (703 pages) that is currently submitted for publication. This... -
Erratum to "How to read the length of a braid from its curve diagram"
International audience -
FAST NIELSEN-THURSTON CLASSIFICATION OF BRAIDS
We prove the existence of an algorithm which solves the reducibility problem in braid groups and runs in quadratic time with respect to the braid length for any fixed... -
Using shifted conjugacy in braid-based cryptography
Conjugacy is not the only possible primitive for designing braid-based protocols. To illustrate this principle, we describe a Fiat--Shamir-style authentication...
