Solid torus links and Hecke algebras of B-type

作者: Sofia S.F. Lambropoulou

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摘要: We show how to construct a HOMFLY-PT type oriented link invariant for links inside solid torus, following V.F.R. Jones’s original approach, i.e via normalizing an Ocneanu-type linear trace function from the Hecke algebras of B-type complex numbers. Before defining we set up appropriate topological theory, then find braid groups related torus and observe that these can be represented by B-type. Finally compare our with skein certain dichromatic found J. Hoste M. Kidwell.

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