A complete knot invariant from contact homology

DOI10.1007/s00222-017-0761-1zbMath1385.57015arXiv1606.07050OpenAlexW2464414913MaRDI QIDQ1702787

Tobias Ekholm, Vivek Shende, Lenhard L. Ng

Publication date: 28 February 2018

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07050

zbMATH Keywords

knot groupLegendrian contact homologystring topologyco-normal torusenhanced knot contact homologyKCH-triple

Mathematics Subject Classification ID

Related Items (18)

The Reidemeister graph is a complete knot invariant ⋮ 2-knot homology and Roseman move ⋮ Covariantly functorial wrapped Floer theory on Liouville sectors ⋮ A wrapped Fukaya category of knot complement ⋮ Knot contact homology detects cabled, composite, and torus knots ⋮ Two homologies for handlebody-knots ⋮ Legendrian weaves: \(N\)-graph calculus, flag moduli and applications ⋮ 2-Knot homology and Yoshikawa move ⋮ Nearby Lagrangian fibers and Whitney sphere links ⋮ Perverse sheaves and knot contact homology ⋮ Cellular Legendrian contact homology for surfaces. I ⋮ Knot contact homology, string topology, and the cord algebra ⋮ Floer homologies, with applications ⋮ Augmentations and link group representations ⋮ Sheaves via augmentations of Legendrian surfaces ⋮ THE CONORMAL TORUS IS A COMPLETE KNOT INVARIANT ⋮ Stein domains in \(\mathbb{C}^2\) with prescribed boundary ⋮ Unnamed Item

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