Braid group representations associated with sl_m
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 .)
Last updated on September 4th, 1996.