A cube of resolutions for knot Floer homology

Abstract

We develop a skein exact sequence for knot Floer homology, involving singular knots. This leads to an explicit, algebraic description of knot Floer homology in terms of a braid projection of the knot.

55 pages, 24 figures

References in corpus (3)

• Holomorphic disks and link invariants
• Legendrian knots, transverse knots and combinatorial Floer homology
• On combinatorial link Floer homology

Cited by in corpus (10)

• Heegaard Floer homology and integer surgeries on links
• A combinatorial spanning tree model for knot Floer homology
• A tour of bordered Floer theory
• Quantum gl(1|1) and tangle Floer homology
• Peculiar modules for 4-ended tangles
• Knot Floer Homology and Khovanov-Rozansky Homology for Singular Links
• A quantum categorification of the Alexander polynomial
• Categorical lifting of the Jones polynomial: a survey
• Framed graphs and the non-local ideal in the knot Floer cube of resolutions
• Kauffman states and Heegaard diagrams for tangles