Two parameters bt-algebra and invariants for links and tied links

Francesca Aicardi; Jesus Juyumaya

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arXiv · 1811.03675

Two parameters bt-algebra and invariants for links and tied links

Francesca Aicardi·Jesus Juyumaya

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Abstract

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 invariants obtained from these two presentations of the bt-algebra and then is more powerful than each of them. Also, a new non Homflypt polynomial invariant is obtained for links, which is related to the linking matrix.

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BibTeX RIS

Francesca Aicardi, Jesus Juyumaya. 2018-11-08. Two parameters bt-algebra and invariants for links and tied links. https://arxiv.org/abs/1811.03675

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