The complex volumes of twist knots

DOI10.1090/S0002-9939-09-09906-7zbMath1192.57011MaRDI QIDQ3182591

Jinseok Cho, Yoshiyuki Yokota, Jun Murakami

Publication date: 9 October 2009

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

zbMATH Keywords

potential functioncomplex volumeVolume conjectureOptimistic limitTwist knot

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28) Length, area and volume in real or complex geometry (51M25)

Related Items

Geometric triangulations and the Teichmüller TQFT volume conjecture for twist knots, On the volume and Chern–Simons invariant for 2-bridge knot orbifolds, Explicit formulae for Chern-Simons invariants of the twist-knot orbifolds and edge polynomials of twist knots, Braids, complex volume and cluster algebras, Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation \(C(2n,3)\), Optimistic limit of the colored Jones polynomial and the existence of a solution, ON THE COMPLEX VOLUME OF HYPERBOLIC KNOTS, THE COMPLEX VOLUMES OF TWIST KNOTS VIA COLORED JONES POLYNOMIALS, Cohomological invariants of representations of 3-manifold groups, 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
• The volume and Chern-Simons invariant of a representation
• Extended Bloch group and the Cheeger-Chern-Simons class
• KASHAEV'S INVARIANT AND THE VOLUME OF A HYPERBOLIC KNOT AFTER Y. YOKOTA
• From the Jones Polynomial to the A-Polynomial of Hyperbolic Knots
• ON THE COMPLEX VOLUME OF HYPERBOLIC KNOTS
• Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links