\mathfrak{gl}_2 foams and the Khovanov homotopy type
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Publication:6045858
DOI10.1512/iumj.2023.72.9307arXiv2101.05785OpenAlexW4367663176MaRDI QIDQ6045858
Paul Wedrich, Vyacheslav S. Krushkal
Publication date: 12 May 2023
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05785
Stable homotopy theory, spectra (55P42) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)
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Cites Work
- The \(\mathfrak{sl}_n\) foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality
- Webs and quantum skew Howe duality
- Deformations of colored \(\mathfrak{sl}_N\) link homologies via foams
- Khovanov homology is a skew Howe 2-representation of categorified quantum \(\mathfrak{sl}_m\)
- \(\text{sl}(2)\) tangle homology with a parameter and singular cobordisms
- \(sl(N)\)-link homology \((N\geq 4)\) using foams and the Kapustin-Li formula
- Fixing the functoriality of Khovanov homology
- Mixed quantum skew Howe duality and link invariants of type \(A\)
- An invariant of link cobordisms from Khovanov homology
- A categorification of the Jones polynomial
- Khovanov homotopy type, Burnside category and products
- Khovanov homology and categorification of skein modules
- Towards an \(\mathfrak{sl}_2\) action on the annular Khovanov spectrum
- An odd Khovanov homotopy type
- A closed formula for the evaluation of foams
- An \(\mathfrak{sl}_n\) stable homotopy type for matched diagrams
- Khovanov's homology for tangles and cobordisms
- Super \(q\)-Howe duality and web categories
- An endomorphism of the Khovanov invariant
- Invariants of 4-manifolds from Khovanov-Rozansky link homology
- Field theories, stable homotopy theory and Khovanov homology
- A Khovanov stable homotopy type
- Stable homotopy refinement of quantum annular homology
- AN ORIENTED MODEL FOR KHOVANOV HOMOLOGY
- Functoriality of colored link homologies
- Functoriality of Khovanov homology
- Link homology and Frobenius extensions
