Nonorientable link cobordisms and torsion order in Floer homologies

DOI10.2140/agt.2023.23.2627arXiv2010.06577OpenAlexW4386689659MaRDI QIDQ6148483

Marco Marengon, Sherry Gong

Publication date: 11 January 2024

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

Full work available at URL: https://arxiv.org/abs/2010.06577

zbMATH Keywords

nonorientable surfacesknot Floer homologylink cobordismsinstanton Floer homology

Mathematics Subject Classification ID

Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Cites Work

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• Nonorientable slice genus can be arbitrarily large
• Khovanov homology is an unknot-detector
• Unknotting operations involving trivial tangles
• Moving basepoints and the induced automorphisms of link Floer homology
• Holomorphic disks and topological invariants for closed three-manifolds
• Correction terms and the nonorientable slice genus
• A deformation of instanton homology for webs
• Knot Floer homology and strongly homotopy-ribbon concordances
• Link homology theories and ribbon concordances
• Ribbon distance and Khovanov homology
• Knot Floer homology and the unknotting number
• Knot Floer homology obstructs ribbon concordance
• Concordance homomorphisms from knot Floer homology
• On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds
• Quasistabilization and basepoint moving maps in link Floer homology
• Link cobordisms and absolute gradings on link Floer homology
• Holomorphic triangles and invariants for smooth four-manifolds
• On knot Floer homology and lens space surgeries
• Cobordisms of sutured manifolds and the functoriality of link Floer homology
• Ribbon homology cobordisms
• Scissor equivalence for torus links
• Knot homology groups from instantons
• Unknotting by adding a Twisted Band
• Unoriented Knot Floer Homology and the Unoriented Four-Ball Genus
• On Khovanov Homology and Related Invariants
• Khovanov homology and ribbon concordances
• Knot cobordisms, bridge index, and torsion in Floer homology
• INVOLUTIVE HEEGAARD FLOER HOMOLOGY AND PLUMBED THREE-MANIFOLDS
• On the Cyclotomic Polynomial $Phi\{pq} (X)$
• Link cobordisms and functoriality in link Floer homology
• Instantons and Bar-Natan homology
• Instantons and some concordance invariants of knots

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