Splicing knot complements and bordered Floer homology

DOI10.1515/crelle-2014-0064zbMath1365.57018arXiv1210.7055OpenAlexW2142896614MaRDI QIDQ334479

Matthew Hedden, Adam Simon Levine

Publication date: 1 November 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7055

zbMATH Keywords

splicingHeegaard Floer homologybordered Floer homologyHeegaard Floer L-spaces

Mathematics Subject Classification ID

Related Items (12)

Rank inequalities for the Heegaard Floer homology of branched covers ⋮ Graph manifolds, left-orderability and amalgamation ⋮ Bordered Floer homology and a meridional class of knot ⋮ Correction to: ``Floer homology and splicing knot complements ⋮ Heegaard Floer homology for manifolds with torus boundary: properties and examples ⋮ A mnemonic for the Lipshitz-Ozsváth-Thurston correspondence ⋮ Cosmetic surgery in L-spaces and nugatory crossings ⋮ Instanton \(L\)-spaces and splicing ⋮ A calculus for bordered Floer homology ⋮ Bordered Floer homology for manifolds with torus boundary via immersed curves ⋮ Exotic Mazur manifolds and knot trace invariants ⋮ Bordered Floer homology and existence of incompressible tori in homology spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topologically slice knots with nontrivial Alexander polynomial
• The knot Floer complex and the smooth concordance group
• On the Heegaard Floer homology of branched double-covers
• Heegaard Floer homology as morphism spaces
• Floer homology and splicing knot complements
• Knot Floer homology and the four-ball genus
• Splicing integer framed knot complements and bordered Heegaard Floer homology
• Holomorphic disks and three-manifold invariants: properties and applications
• Holomorphic disks and knot invariants
• Holomorphic disks and genus bounds
• Bimodules in bordered Heegaard Floer homology
• Knot Floer homology of Whitehead doubles
• Knot Floer homology detects fibred knots
• On knot Floer homology and lens space surgeries
• Longitude Floer homology and the Whitehead double
• Knot doubling operators and bordered Heegaard Floer homology
• Bordered Heegaard Floer homology and the tau-invariant of cable knots
• Knot Floer homology detects genus-one fibred knots
• Slicing planar grid diagrams: a gentle introduction to bordered Heegaard Floer homology

This page was built for publication: Splicing knot complements and bordered Floer homology