Bands, tangles and linear skein theory

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Abstract

The process of attaching bands to links (fusion/fission) is discussed in the framework of tangle theory and linear skein theory. Formulas for skein polynomials are deduced and nontriviality results for band constructions are proved. In particular we discuss the effect of band changes like twisting. We prove that for each link and choice of two attaching arcs there are infinitely many different fusion/fission links with bands attached to these arcs.

Original languageEnglish
Pages (from-to)317-336
Number of pages20
JournalManuscripta Mathematica
Volume71
Issue number1
DOIs
StatePublished - Dec 1991

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