Tied links in the solid torus
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2021
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World Scientific Publishing
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Facultad de Ciencias
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Instituto de Matematicass
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Resumen
We introduce the concept of tied links in the solid torus, which generalizes naturally the concept of tied links in S3 previously introduced by Aicardi and Juyumaya. We also define an invariant of these tied links by using skein relations, and we then recover this invariant by using Jones’ method over the bt-algebra of type B and the Markov trace defined on this.
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BRAIDS OF TYPE B , BT-ALGEBRA OF TYPE B, FRAMIZATION, MARKOV TRACELINK INVARIANTS, KNOTS AND LINKS IN SOLID TORUS