An untwisted cube of resolutions for knot Floer homology

DOI10.4171/QT/50zbMath1305.57016arXiv1108.0032OpenAlexW2964236059MaRDI QIDQ407397

Ciprian Manolescu

Publication date: 1 September 2014

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0032

zbMATH Keywords

knotsspectral sequencesKhovanov-Rozansky homologyknot Floer homology

Mathematics Subject Classification ID

Floer homology (57R58)

Related Items

Khovanov-Seidel quiver algebras and Ozsváth-Szabó's bordered theory, Categorical lifting of the Jones polynomial: a survey, An introduction to knot Floer homology, The knot Floer cube of resolutions and the composition product, Evaluations of link polynomials and recent constructions in Heegaard Floer theory, Knot Floer homology and Khovanov-Rozansky homology for singular links, A survey on the Turaev genus of knots, On concordances in 3-manifolds, On two types of Heegaard diagram used in knot Floer homology, Singular crossings and Ozsváth–Szabó’s Kauffman-states functor, A quantum categorification of the Alexander polynomial, Framed graphs and the non-local ideal in the knot Floer cube of resolutions

Uses Software

• Macaulay2

Cites Work

• Invariance and the knot Floer cube of resolutions
• A combinatorial spanning tree model for knot Floer homology
• Integral HOMFLY-PT and \(sl(n)\)-link homology
• Khovanov homology is an unknot-detector
• Matrix factorizations and link homology. II.
• Knots, sutures, and excision
• A categorification of the Jones polynomial
• The Superpolynomial for Knot Homologies
• Knot Floer homology detects genus-one fibred knots
• TRIPLY-GRADED LINK HOMOLOGY AND HOCHSCHILD HOMOLOGY OF SOERGEL BIMODULES
• Matrix factorizations and link homology