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.
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