Kauffman bracket versus Jones polynomial skein modules

preprint2022arXivOpen access

This paper resolves the problem of comparing the skein modules defined using the skein relations discovered by R. Kirby and P. Melvin that underlie the Reshetikhin-Turaev model for $SU(2)$ Chern-Simons theory to the Kauffman bracket skein modules. Several applications and examples are presented.

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Kauffman bracket versus Jones polynomial skein modules

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