Knot invariants from topological recursion on augmentation varieties

DOI10.1007/s00220-014-2238-zzbMath1323.57008arXiv1401.5095OpenAlexW3104698478MaRDI QIDQ2018313

Jie Gu, Albrecht Klemm, Hans Jockers, Masoud Soroush

Publication date: 14 April 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5095

zbMATH Keywords

Bergman kernelstring theorytopological recursionspectral curvesannulus kernelcolored HOMFLY polynomialsremodeled B-model

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between algebraic curves and physics (14H81) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items

Are there \(p\)-adic knot invariants?, Sequencing BPS spectra, Topological recursion for the conifold transition of a torus knot, Quantum curves from refined topological recursion: the genus 0 case, Lectures on knot homology, Colored HOMFLY-PT polynomials that distinguish mutant knots, On the Gopakumar–Ooguri–Vafa correspondence for Clifford–Klein 3-manifolds, Full colored HOMFLYPT invariants, composite invariants and congruence skein relations, Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces, Generalisations of the Harer-Zagier recursion for 1-point functions, Topological recursion in the Ramond sector, Knots, BPS states, and algebraic curves, A simple proof of the strong integrality for full colored HOMFLYPT invariants, \(\mathcal{N}=1\) super topological recursion, Open Gromov-Witten invariants from the augmentation polynomial, A note on colored HOMFLY polynomials for hyperbolic knots from WZW models

Uses Software

• SINGULAR

Cites Work

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