Strands algebras and Ozsváth and Szabó's Kauffman-states functor

DOI10.2140/agt.2020.20.3607zbMath1482.57011arXiv1903.05655OpenAlexW2922392113MaRDI QIDQ2664143

Andrew Manion, Michael Willis, Marco Marengon

Publication date: 20 April 2021

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

Full work available at URL: https://arxiv.org/abs/1903.05655

zbMATH Keywords

Floer homologyknot Floer homologybordered Floer homologyA-infinity algebrassutured manifoldsKauffman statesbordered knot Floer homologybordered sutured Floer homologystrands algebrastangle Floer homology

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Floer homology (57R58) Differential graded algebras and applications (associative algebraic aspects) (16E45) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (3)

Strands algebras and the affine highest weight property for equivariant hypertoric categories ⋮ Compatibility in Ozsváth-Szabó's bordered HFK via higher representations ⋮ Singular crossings and Ozsváth–Szabó’s Kauffman-states functor

Cites Work

• Heegaard Floer homology as morphism spaces
• Kauffman states, bordered algebras, and a bigraded knot invariant
• On the decategorification of Ozsváth and Szabó's bordered theory for knot Floer homology
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and three-manifold invariants: properties and applications
• Decorated Teichmüller theory of bordered surfaces
• Holomorphic disks and knot invariants
• Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces
• Ozsváth-Szabó bordered algebras and subquotients of category \(\mathcal{O} \)
• Bordered knot algebras with matchings
• Bimodules in bordered Heegaard Floer homology
• Khovanov-Seidel quiver algebras and Ozsváth-Szabó's bordered theory
• Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras
• Bordered Heegaard Floer homology
• Peculiar modules for 4‐ended tangles
• GENERATORS, RELATIONS, AND HOMOLOGY FOR OZSVÁTH–SZABÓ’S KAUFFMAN-STATES ALGEBRAS
• Homological mirror symmetry for higher-dimensional pairs of pants
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