From Colored Jones Invariants to Logarithmic Invariants
نویسندگان
چکیده
منابع مشابه
Colored Jones Invariants of Links In
We extend the definition of the colored Jones polynomials to framed links and trivalent graphs in S3#kS 2 × S using a state-sum formulation based on Turaev’s shadows. Then, we prove that the natural extension of the Volume Conjecture is true for an infinite family of hyperbolic links.
متن کاملOn Jones knot Invariants and Vassiliev Invariants
We show that the n-th derivative of a quantum group invariant, evaluated at 1, is a Vassiliev invariant while the derivative of the Jones polynomial, evaluated at a real number 6 = 1, is not a Vassiliev in variant. The coeecients of the classical Conway polynomial are known to be Vassiliev invariants. We show that the coeecients of the Jones polynomial are not vassiliev invariants.
متن کاملApproximating Jones Coefficients and Other Link Invariants by Vassiliev Invariants
We find approximations by Vassiliev invariants for the coefficients of the Jones polynomial and all specializations of the HOMFLY and Kauffman polynomials. Consequently, we obtain approximations of some other link invariants arising from the homology of branched covers of links.
متن کاملCOLORED JONES INVARIANTS OF LINKS IN S 3 #kS 2 × S 1 AND THE VOLUME CONJECTURE
We extend the definition of the colored Jones polynomials to framed links and trivalent graphs in S3#kS 2 × S using a state-sum formulation based on Turaev’s shadows. Then, we prove that the natural extension of the Volume Conjecture is true for an infinite family of hyperbolic links.
متن کاملColored Invariants in Predicate/transition Nets
The duality properties of Peti Nets (PN) are exploiled in order to apply an algorithmfor the calculation of colored S-invaiants of Predicate Transition nets (Pr/T nets) to the calculation of the colored T-invariants.
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2018
ISSN: 0387-3870
DOI: 10.3836/tjm/1502179244