Learning knot invariants across dimensions

DOI10.21468/SCIPOSTPHYS.14.2.021MaRDI QIDQ6592390

Arjun Kar, Vishnu Jejjala, Jessica Craven, Mark C. Hughes

Publication date: 26 August 2024

Published in: SciPost Physics (Search for Journal in Brave)

zbMATH Keywords

gauge theorycorrelationsJones polynomialknot invariantsmachine learningdeep neural networksKhovanovsmooth slice genusRasmussen's \(s\)-invariant

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Knot polynomials (57K14) Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• On \(D\) = 5 super Yang-Mills theory and (2, 0) theory
• M5-branes, D4-branes and quantum 5D super-Yang-Mills
• Khovanov homology and the slice genus
• Khovanov homology is an unknot-detector
• Fivebranes and knots
• The hyperbolic volume of knots from the quantum dilogarithm
• Man and machine thinking about the smooth 4-dimensional Poincaré conjecture
• Hecke algebra representations of braid groups and link polynomials
• Quantum field theory and the Jones polynomial
• On Khovanov's categorification of the Jones polynomial
• The distribution of knots in the Petaluma model
• Sequencing BPS spectra
• The Lee spectral sequence, unknotting number, and the knight move conjecture
• Knot invariants from four-dimensional gauge theory
• A categorification of the Jones polynomial
• Knots-quivers correspondence
• Liouville correlation functions from four-dimensional gauge theories
• Deep learning the hyperbolic volume of a knot
• A characterisation of alternating knot exteriors
• Alternating links and definite surfaces
• Filtrations on instanton homology
• Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
• An endomorphism of the Khovanov invariant
• Quasipositivity as an obstruction to sliceness
• A polynomial invariant for knots via von Neumann algebras
• Invariants of links of Conway type
• Advancing mathematics by guiding human intuition with AI
• Big data approaches to knot theory: Understanding the structure of the Jones polynomial
• A neural network approach to predicting and computing knot invariants
• The Knight Move Conjecture is false
• Knot projections with a single multi-crossing
• Gauge theory and Rasmussen's invariant
• Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links
• On the Khovanov and knot Floer homologies of quasi-alternating links
• Approximation by superpositions of a sigmoidal function
• The colored Jones polynomials and the simplicial volume of a knot
• Index Formulae for Line Bundle Cohomology on Complex Surfaces
• Homological knot invariants from mirror symmetry
• From zero surgeries to candidates for exotic definite 4‐manifolds

This page was built for publication: Learning knot invariants across dimensions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6592390)