Optimistic limit of the colored Jones polynomial and the existence of a solution

DOI10.1090/proc/12845zbMath1341.57014arXiv1410.0525OpenAlexW2962933678MaRDI QIDQ2790286

Jinseok Cho

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0525

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Eta-invariants, Chern-Simons invariants (58J28) Length, area and volume in real or complex geometry (51M25)

Related Items (8)

Octahedral developing of knot complement. I: Pseudo-hyperbolic structure ⋮ On the potential function of the colored Jones polynomial with arbitrary colors ⋮ Octahedral developing of knot complement II: Ptolemy coordinates and applications ⋮ Reidemeister transformations of the potential function and the solution ⋮ Quandle theory and the optimistic limits of the representations of link groups ⋮ On the Hikami-Inoue conjecture ⋮ On the potential functions for a link diagram ⋮ OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS AND THE COMPLEX VOLUMES OF HYPERBOLIC LINKS

Cites Work

• The hyperbolic volume of knots from the quantum dilogarithm
• Quandle homology and complex volume
• The volume and Chern-Simons invariant of a representation
• OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS AND THE COMPLEX VOLUMES OF HYPERBOLIC LINKS
• OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS
• Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links
• THE COMPLEX VOLUMES OF TWIST KNOTS VIA COLORED JONES POLYNOMIALS
• The complex volumes of twist knots
• Reidemeister transformations of the potential function and the solution
• Thurston’s spinning construction and solutions to the hyperbolic gluing equations for closed hyperbolic 3–manifolds
• ON THE COMPLEX VOLUME OF HYPERBOLIC KNOTS
• Connected sum of representations of knot groups
• The colored Jones polynomials and the simplicial volume of a knot

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