A note on cobordisms of algebraic knots

DOI10.2140/agt.2017.17.2543zbMath1427.57001arXiv1509.08821OpenAlexW2211702053MaRDI QIDQ2398930

Marco Golla, Daniele Celoria, Jozsef Bodnar

Publication date: 21 August 2017

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08821

zbMATH Keywords

semicontinuitydeformation of singularitiescorrection termsHeegaard Floer homology

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Floer homology (57R58) Deformations of singularities (14B07) Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

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Cites Work

• Four-ball genus bounds and a refinement of the Ozsváth-Szabó tau invariant
• Cosmetic surgeries on knots in \(S^3\)
• The reduced knot Floer complex
• Khovanov homology and the slice genus
• Knot Floer homology and the four-ball genus
• Holomorphic disks and topological invariants for closed three-manifolds
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Dehn surgeries and negative-definite four-manifolds
• Plane algebraic curves of arbitrary genus via Heegaard Floer homology
• Immersed disks, slicing numbers and concordance unknotting numbers
• Knot Floer homology and integer surgeries
• Cuspidal curves and Heegaard Floer homology
• Semigroups,d-invariants and deformations of cuspidal singular points of plane curves
• Scissor equivalence for torus links
• Lattice and Heegaard Floer Homologies of Algebraic Links
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• On Knot Floer Homology and Cabling: 2
• HEEGAARD FLOER HOMOLOGY AND RATIONAL CUSPIDAL CURVES