A deformation of Robert-Wagner foam evaluation and link homology

DOI10.1090/conm/791/15875arXiv2004.14197OpenAlexW3021739119MaRDI QIDQ6201564

Nitu Kitchloo, Mikhail G. Khovanov

Publication date: 21 February 2024

Published in: Algebraic and Topological Aspects of Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14197

zbMATH Keywords

link homologyMOY graphsfoam evaluationReshetikhin--Turaev--Witten link invariantsRobert-Wagner foam evaluation

Mathematics Subject Classification ID

Formal groups, (p)-divisible groups (14L05) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18) Categorification (18N25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(\mathfrak{sl}_n\) foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality
• Formal Hecke algebras and algebraic oriented cohomology theories.
• Deformations of nilHecke algebras
• Deformations of colored \(\mathfrak{sl}_N\) link homologies via foams
• Unoriented topological quantum field theory and link homology
• \(\text{sl}(2)\) tangle homology with a parameter and singular cobordisms
• Cyclic foam topological field theories
• The diagrammatic Soergel category and \(\mathrm{sl}(2)\) and \(\mathrm{sl}(3)\) foams
• \(sl(N)\)-link homology \((N\geq 4)\) using foams and the Kapustin-Li formula
• Fixing the functoriality of Khovanov homology
• The universal \({\mathfrak {sl}}(2)\) cohomology via webs and foams
• Quantum field theory and the Jones polynomial
• Homfly polynomial via an invariant of colored plane graphs
• On Khovanov's categorification of the Jones polynomial
• \(\text{sl}(3)\) link homology
• An invariant of link cobordisms from Khovanov homology
• Elementary proof and application of the generating functions for generalized Hall-Littlewood functions
• Ribbon graphs and their invariants derived from quantum groups
• Topological quantum field theories derived from the Kauffman bracket
• The diagrammatic Soergel category and \(sl(N)\)-foams, for \(N\geq 4\)
• A categorification of the Jones polynomial
• A quantum categorification of the Alexander polynomial
• Symmetric Khovanov-Rozansky link homologies
• Foam evaluation and Kronheimer-Mrowka theories
• A closed formula for the evaluation of foams
• Darondeau-Pragacz formulas in complex cobordism
• Exponential growth of colored HOMFLY-PT homology
• Singular TQFTs, foams and type D arc algebras
• The universal \(\mathrm{sl}_3\)-link homology
• Topological Landau-Ginzburg models on the world-sheet foam
• Field theories, stable homotopy theory and Khovanov homology
• A Steenrod square on Khovanov homology
• A Khovanov stable homotopy type
• Categorification and Higher Representation Theory
• Quantum (sl_n, ∧V _n) link invariant and matrix factorizations
• EQUIVARIANT COLORED 𝔰𝔩(N)-HOMOLOGY FOR LINKS
• AN ORIENTED MODEL FOR KHOVANOV HOMOLOGY
• Functoriality of colored link homologies
• Knot invariants and higher representation theory
• Universal Gysin formulas for the universal Hall-Littlewood functions
• The Schubert Calculus, Braid Relations, and Generalized Cohomology
• Functoriality of Khovanov homology
• Matrix factorizations and link homology
• Link homology and Frobenius extensions
• An invariant of tangle cobordisms
• Computer Bounds for Kronheimer–Mrowka Foam Evaluation
• On the functoriality of \(\mathfrak{sl}_2\) tangle homology

This page was built for publication: A deformation of Robert-Wagner foam evaluation and link homology