Knot theory related to generalized and cyclotomic Hecke algebras of type B

Details Knot theory related to generalized and cyclotomic Hecke algebras of type B Knot theory related to generalized and cyclotomic Hecke algebras of type B

2004-05-26

arxiv.org/abs/math/0405504v2

J. Knot Theory and its Ramifications, Vol. 8, No. 5, pp. 621--658 (1999)

Mathematics

Geometric Topology

35 pages, 8 figures, LaTex document. Title on the abstract page has been corrected; otherwise, v2 is identical to v1

Scientific paper

In this paper we consider all possible generalizations of the B-type Hecke
algebras, namely the cyclotomic and what we call 'generalized', and we
construct Markov traces on each of them, so as to obtain all possible different
levels of homfly-pt analogues in the solid torus related to the (Hecke)
algebras of B-type.

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