Compatibility in Ozsváth-Szabó's bordered HFK via higher representations

DOI10.2140/pjm.2023.323.253zbMath1525.57004arXiv2207.00549OpenAlexW4379285219MaRDI QIDQ6105387

William H. Chang, Andrew Manion

Publication date: 9 June 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.00549

zbMATH Keywords

categorificationHeegaard Floerhigher representation theorybordered Floerbordered HFK

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) Categorification (18N25)

Cites Work

• Kauffman states, bordered algebras, and a bigraded knot invariant
• On the decategorification of Ozsváth and Szabó's bordered theory for knot Floer homology
• Ozsváth-Szabó bordered algebras and subquotients of category \(\mathcal{O} \)
• Bordered knot algebras with matchings
• Bimodules in bordered Heegaard Floer homology
• Strands algebras and Ozsváth and Szabó's Kauffman-states functor
• On the algebra of cornered Floer homology
• GENERATORS, RELATIONS, AND HOMOLOGY FOR OZSVÁTH–SZABÓ’S KAUFFMAN-STATES ALGEBRAS
• How to categorify one-half of quantum gl(1|2)
• Cornered Heegaard Floer Homology

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