On the decategorification of Ozsváth and Szabó's bordered theory for knot Floer homology

DOI10.4171/QT/123zbMath1478.57014arXiv1611.08001MaRDI QIDQ1733106

Andrew Manion

Publication date: 21 March 2019

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08001

zbMATH Keywords

decategorificationOzsváth-Szabó's bordered theoryViro's quantum relative

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (10)

Khovanov-Seidel quiver algebras and Ozsváth-Szabó's bordered theory ⋮ Strands algebras and Ozsváth and Szabó's Kauffman-states functor ⋮ Strands algebras and the affine highest weight property for equivariant hypertoric categories ⋮ DG structures on odd categorified quantum \(sl(2)\) ⋮ Compatibility in Ozsváth-Szabó's bordered HFK via higher representations ⋮ Ozsváth-Szabó bordered algebras and subquotients of category \(\mathcal{O} \) ⋮ On two types of Heegaard diagram used in knot Floer homology ⋮ Singular crossings and Ozsváth–Szabó’s Kauffman-states functor ⋮ GENERATORS, RELATIONS, AND HOMOLOGY FOR OZSVÁTH–SZABÓ’S KAUFFMAN-STATES ALGEBRAS ⋮ Kauffman states and Heegaard diagrams for tangles

Cites Work

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