A quantum categorification of the Alexander polynomial
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Publication:2103500
DOI10.2140/gt.2022.26.1985OpenAlexW2911991192MaRDI QIDQ2103500
Louis-Hadrien Robert, Emmanuel Wagner
Publication date: 14 December 2022
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.05648
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Topological quantum field theories (aspects of differential topology) (57R56) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)
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Cites Work
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- Invariance and the knot Floer cube of resolutions
- The \(\mathfrak{sl}_n\) foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality
- An untwisted cube of resolutions for knot Floer homology
- Combinatorial tangle Floer homology
- Multivariable link invariants arising from \(\mathfrak {sl}(2|1)\) and the Alexander polynomial
- Some differentials on Khovanov-Rozansky homology
- Matrix factorizations and link homology. II.
- Knots, sutures, and excision
- \(sl(N)\)-link homology \((N\geq 4)\) using foams and the Kapustin-Li formula
- Free fermions and the Alexander-Conway polynomial
- Homfly polynomial via an invariant of colored plane graphs
- Knot Floer homology and Khovanov-Rozansky homology for singular links
- \(\text{sl}(3)\) link homology
- Holomorphic disks and knot invariants
- Topological quantum field theories derived from the Kauffman bracket
- A categorification of the Jones polynomial
- Symmetric Khovanov-Rozansky link homologies
- Foam evaluation and Kronheimer-Mrowka theories
- A closed formula for the evaluation of foams
- Exponential growth of colored HOMFLY-PT homology
- Khovanov's homology for tangles and cobordisms
- Remarks on coloured triply graded link invariants
- Quantum \(\mathfrak{gl}_{1 | 1}\) and tangle Floer homology
- On the Alexander polynomial
- Khovanov-Rozansky homology and 2-braid groups
- A cube of resolutions for knot Floer homology
- The Superpolynomial for Knot Homologies
- A new polynomial invariant of knots and links
- Invariants of links of Conway type
- LINK POLYNOMIALS AND A GRAPHICAL CALCULUS
- THE HOMFLY POLYNOMIAL OF THE DECORATED HOPF LINK
- Functoriality of colored link homologies
- Sutured annular Khovanov-Rozansky homology
- TRIPLY-GRADED LINK HOMOLOGY AND HOCHSCHILD HOMOLOGY OF SOERGEL BIMODULES
- A colored sl(N) homology for links in S3
- Quantum relatives of the Alexander polynomial
- Braid Groups