Bordered Floer homology and a meridional class of knot

DOI10.1007/s13398-021-01004-8zbMath1462.57018arXiv1804.00886OpenAlexW3129492257MaRDI QIDQ2660995

Jaepil Lee

Publication date: 1 April 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00886

zbMATH Keywords

knot Floer homology\(\mathcal{A}\)-infinity module\(\mathrm{spin}^c\) gradingintegral Dehn surgery

Mathematics Subject Classification ID

Symplectic aspects of Floer homology and cohomology (53D40) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Cites Work

• Topologically slice knots of smooth concordance order two
• Splicing knot complements and bordered Floer homology
• Bordered Heegaard Floer homology and graph manifolds
• Holomorphic disks, link invariants and the multi-variable Alexander polynomial
• Knot Floer homology and the four-ball genus
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and knot invariants
• HF=HM. I: Heegaard Floer homology and Seiberg-Witten Floer homology
• HF=HM. II: Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence
• HF=HM. III: Holomorphic curves and the differential for the ech/Heegaard Floer correspondence
• HF=HM. IV: The Seiberg-Witten Floer homology and ech correspondence
• HF=HM. V: Seiberg-Witten Floer homology and handle additions
• Bimodules in bordered Heegaard Floer homology
• Knot Floer homology of Whitehead doubles
• Knot Floer homology and integer surgeries
• Bordered Heegaard Floer homology and the tau-invariant of cable knots
• Bordered Heegaard Floer homology
• Tour of bordered Floer theory
• Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot
• On the Concordance Genus of Topologically Slice Knots

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