Connected Floer homology of covering involutions

DOI10.1007/s00208-020-01992-9zbMath1473.57002arXiv1905.11613OpenAlexW3023038782MaRDI QIDQ785349

Sungkyung Kang, András I. Stipsicz, Antonio Alfieri

Publication date: 6 August 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.11613

zbMATH Keywords

concordanceslice knotsHeegaard Floer homologybranched double covers

Mathematics Subject Classification ID

Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items

Link homology theories and ribbon concordances ⋮ Rank inequalities for the Heegaard Floer homology of branched covers ⋮ Almost simple linear graphs, homology cobordism and connected Heegaard Floer homology ⋮ Equivariant Seiberg-Witten-Floer cohomology ⋮ A survey of the homology cobordism group ⋮ Corks, involutions, and Heegaard Floer homology ⋮ Concordances from differences of torus knots to $L$-space knots ⋮ Branched covers bounding rational homology balls

Cites Work

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• Pretzel knots with \(L\)-space surgeries
• Surgery obstructions and Heegaard Floer homology
• Knots in lattice homology
• On the slice-ribbon conjecture for pretzel knots
• Invariants for homology 3-spheres
• Semigroups of \(L\)-space knots and nonalgebraic iterated torus knots
• Knot Floer homology in cyclic branched covers
• Lens spaces, rational balls and the ribbon conjecture
• Lattice cohomology of normal surface singularities
• Knot concordance and heegaard floer homology invariants in branched covers
• Computing knot Floer homology in cyclic branched covers
• On the Floer homology of plumbed three-manifolds
• A surgery formula for the \(\overline{\mu}\)-invariant
• Links of rational singularities, L-spaces and LO fundamental groups
• A connected sum formula for involutive Heegaard Floer homology
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and three-manifold invariants: properties and applications
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• A spectral sequence on lattice homology
• Upsilon-type concordance invariants
• The Conway knot is not slice
• Involutive Heegaard Floer homology
• Concordance homomorphisms from knot Floer homology
• Holomorphic triangles and invariants for smooth four-manifolds
• Upsilon-like concordance invariants from \(\mathfrak{s}\mathfrak{l}_n\) knot cohomology
• The slice-ribbon conjecture for 3-stranded pretzel knots
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• A flexible construction of equivariant Floer homology and applications
• INVOLUTIVE HEEGAARD FLOER HOMOLOGY AND PLUMBED THREE-MANIFOLDS
• A Concordance Invariant from the Floer Homology of Double Branched Covers
• Hamiltonian handleslides for Heegaard Floer homology