Braid group representations associated with sl_m

R.J. Lawrence

Abstract: It has been seen elsewhere how elementary topology may be used to construct representations of the Iwahori-Hecke algebra associated with two-row Young diagrams, and how these constructions are related to the production of the same representations from the monodromy of n-point correlation functions in the work of Tsuchiya & Kanie and to the construction of the one-variable Jones polynomial. This paper investigates the extension of these results to representations associated with arbitrary multi-row Young diagrams and a functorial description of the two-variable Jones polynomial of links in S^3.

Keywords: Braid representations, homological constructions, Knizhnik-Zamolodchikov equation, local coefficient systems, configuration spaces, Jones polynomial.

Length: 24 pages

Reference: J. Knot Th. Ramif. 5 (1996) 637-660. MR1414092 (98j:57011) (review by Xiao-Song Lin .)

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Last updated on September 4th, 1996.