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The braid-permutation group

✍ Scribed by Roger Fenn; Richárd Rimányi; Colin Rourke

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
873 KB
Volume
36
Category
Article
ISSN
0040-9383

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📜 SIMILAR VOLUMES

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The Jones polynomial was originally defined by constructing a Markov trace on the sequence of Temperley-Lieb algebras. In this paper we give a programme for constructing other link invariants by the same method. The data for the constructions is a representation of the three string braid group.

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to the memories of wilhelm magnus and horace mochizuki ## 1. Introduction Let B n designate the braid group on n strings (Artin [1]). In 1936 Burau [7] gave a matrix representation of B n and in 1961 Gassner [8] generalized Burau's representation. B 2 is infinite cyclic and hence is a linear group