Vajira Manathunga
Published 2022-02-10Version 1
It has been known that, the coefficients of the series expansion of the Jones polynomial evaluated at $e^x$ are rational valued Vassiliev invariants . In this article, we calculate minimal multiplying factor, {\lambda}, needed for these rational valued invariants to become integer valued Vassiliev invariants. By doing that we obtain a set of integer-valued Vassiliev invariants.
The Jones polynomial and boundary slopes of alternating knots
A geometric characterization of the upper bound for the span of the Jones polynomial
A homological definition of the Jones polynomial
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