OPEN-CLOSED TQFTS EXTEND KHOVANOV HOMOLOGY FROM LINKS TO TANGLES

DOI10.1142/S0218216509006793zbMath1161.57018arXivmath/0606331MaRDI QIDQ3608725

Aaron D. Lauda, Hendryk Pfeiffer

Publication date: 5 March 2009

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606331

zbMATH Keywords

tangleKhovanov homologylink homologyFrobenius algebra2-dimensional extended TQFT

Mathematics Subject Classification ID

Related Items (8)

DG structures on odd categorified quantum \(sl(2)\) ⋮ One-dimensional topological theories with defects: the linear case ⋮ Khovanov homology and the symmetry group of a knot ⋮ A cobordism realizing crossing change on \(\mathfrak{sl}_2\) tangle homology and a categorified Vassiliev skein relation ⋮ The decategorification of bordered Khovanov homology ⋮ Twin TQFTs and Frobenius algebras ⋮ An odd categorification of \(U_q(\mathfrak{sl}_2)\) ⋮ A type \(D\) structure in Khovanov homology

Cites Work

• Unnamed Item
• A functor-valued invariant of tangles
• On Khovanov's categorification of the Jones polynomial
• An invariant of link cobordisms from Khovanov homology
• A categorification of the Jones polynomial
• Khovanov's homology for tangles and cobordisms
• An endomorphism of the Khovanov invariant
• CALCULATING BAR-NATAN'S CHARACTERISTIC TWO KHOVANOV HOMOLOGY
• A REMARK ON RASMUSSEN'S INVARIANT OF KNOTS
• KHOVANOV HOMOLOGY FOR VIRTUAL KNOTS WITH ARBITRARY COEFFICIENTS
• TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS
• Direct sum decompositions and indecomposable TQFTs
• STATE SUM CONSTRUCTION OF TWO-DIMENSIONAL OPEN-CLOSED TOPOLOGICAL QUANTUM FIELD THEORIES
• Link homology and Frobenius extensions
• Conformal correlation functions, Frobenius algebras and triangulations

This page was built for publication: OPEN-CLOSED TQFTS EXTEND KHOVANOV HOMOLOGY FROM LINKS TO TANGLES