Bordered Floer homology for manifolds with torus boundary via immersed curves

DOI10.1090/jams/1029arXiv1604.03466OpenAlexW2340671844MaRDI QIDQ6187815

Jacob Rasmussen, Liam Watson, Jonathan Hanselman

Publication date: 1 February 2024

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03466

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Cites Work

• Unnamed Item
• Splicing knot complements and bordered Floer homology
• Khovanov module and the detection of unlinks
• Berge-Gabai knots and \(L\)-space satellite
• Taut foliations, left-orderability, and cyclic branched covers
• Foliations, orders, representations, L-spaces and graph manifolds
• On the Heegaard Floer homology of branched double-covers
• Khovanov homology is an unknot-detector
• Flat surfaces and stability structures
• Bordered Heegaard Floer homology and graph manifolds
• Holomorphic discs and sutured manifolds
• Manifolds with small Heegaard Floer ranks
• Closed geodesics on non-compact Riemannian manifolds
• Links of rational singularities, L-spaces and LO fundamental groups
• Floer simple manifolds and L-space intervals
• Corrigendum to: ``Taut foliations, left-orderability, and cyclic branched covers
• Splicing integer framed knot complements and bordered Heegaard Floer homology
• The decategorification of bordered Heegaard Floer homology
• Holomorphic disks and genus bounds
• Khovanov homology detects the trefoils
• Bordered theory for pillowcase homology
• Bordered Floer homology and incompressible surfaces
• Bimodules in bordered Heegaard Floer homology
• On L-spaces and left-orderable fundamental groups
• On the Fukaya categories of higher genus surfaces
• Satellite knots and L-space surgeries
• Knot doubling operators and bordered Heegaard Floer homology
• Combinatorial Floer Homology
• L-space intervals for graph manifolds and cables
• Fukaya categories and bordered Heegaard-Floer homology
• Knot Floer homology detects genus-one fibred knots
• Closed Geodesics on Surfaces
• Bordered Heegaard Floer homology
• Bordered Floer homology and existence of incompressible tori in homology spheres
• Fukaya categories of the torus and Dehn surgery
• The Geometries of 3-Manifolds
• L-spaces, taut foliations, and graph manifolds
• Seifert vs. slice genera of knots in twist families and a characterization of braid axes
• Branched covers of quasi‐positive links and L‐spaces
• Fukaya categories of symmetric products and bordered Heegaard-Floer homology
• The Alexander module, Seifert forms, and categorification
• Fukaya categories of surfaces, spherical objects and mapping class groups
• Heegaard Floer homology for manifolds with torus boundary: properties and examples
• A calculus for bordered Floer homology

This page was built for publication: Bordered Floer homology for manifolds with torus boundary via immersed curves