A full-twisting formula for the HOMFLY polynomial
Keita Nakagane
TL;DR
This paper extends the full-twist formula for the HOMFLY polynomial to a broader class of link diagrams, including all closed braids, providing a generalized computational tool.
Contribution
It introduces a generalized full-twist formula for the HOMFLY polynomial applicable to a wider class of link diagrams, including all closed braids.
Findings
Extended the full-twist formula to all closed braid diagrams
Provided a generalized method for computing the HOMFLY polynomial
Included a new class of link diagrams in the formula
Abstract
We introduce a certain class of link diagrams, which includes all closed braid diagrams. We show a generalized version of K\'alm\'an's full-twist formula for the HOMFLY polynomial in the class.
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