New invariant for singular links via bt-algebra.
problem Invariants for singular links.
method Representations of singular braid monoid into two parameter bt-algebra.
result More powerful than previous invariants.
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We introduce a two-parameters bt-algebra which, by specialization, becomes the one-parameter bt-algebra, introduced by the authors, as well as another one-parameter presentation of it; the invariant for links and tied links, associated to this two-parameter algebra via Jones recipe, contains as specializations the inva…
We introduce the concept of tied links in the solid torus, which generalize naturally the concept of tied links in previously introduced by Aicardi and Juyumaya. We also define an invariant of these tied links by using skein relations, and subsequently we recover this invariant by using Jones' method over the bt-…