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We compute the categorified sl(N) link invariants as defined by Khovanov and Rozansky, for various links and values of N.
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M. Khovanov, A categorification of the Jones polynomial
2000
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J. M. F. Labastida, M. Mariño, and C. Vafa, Knot Invariants and Topological Strings
2000
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H. Ooguri and C. Vafa, Knot Invariants and Topological Strings
2000
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S. Gukov, A. Schwarz, and C. Vafa, Khovanov-Rozansky Homology and Topological Strings
2005
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M. Mariño, Chern-Simons Theory, Matrix Models, and Topological strings
2005
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C. Stroppel, Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors
2005
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C. Manolescu, Link homology theories from symplectic geometry
2007
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J. Rasmussen, Khovanov-Rozansky homology of two-bridge knots and links
2007
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S. Cautis and J. Kamnitzer, Knot homology via derived categories of coherent sheaves I, s l ( 2 ) sl(2) case
2008
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S. Cautis and J. Kamnitzer, Knot homology via derived categories of coherent sheaves II, s l ( m ) sl(m) case
2008
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M. Khovanov and L. Rozansky, Matrix factorizations and link homology
2008
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M. Khovanov and L. Rozansky, Matrix factorizations and link homology II
2008
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N. M. Dunfield, S. Gukov, and J. Rasmussen, The Superpolynomial for Knot Homologies
2006
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R. Rouquier, Categorification of 𝔰 𝔩 2 \mathfrak{sl}_{2} and braid groups
2006
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P. Seidel and I. Smith, A link invariant from the symplectic geometry of nilpotent slices
2006
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I. Brunner and D. Roggenkamp, B-type defects in Landau-Ginzburg models
2007
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J. Fröhlich, J. Fuchs, I. Runkel, and C. Schweigert, Duality and defects in rational conformal field theory
2007
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M. Khovanov, Triply-graded link homology and Hochschild homology of Soergel bimodules
2007
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H. Wu, Braids, Transversal links and the Khovanov-Rozansky Theory
2008
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2009
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D. McNamee, On the mathematical structure of topological defects in Landau-Ginzburg models
2009
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N. Carqueville and I. Runkel, On the monoidal structure of matrix bi-factorisations
2010
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S. Gukov, A. Iqbal, C. Kozçaz, and C. Vafa, Link Homologies and the Refined Topological Vertex
2010
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V. Turaev, Quantum invariants of knots and 3-manifolds
2010
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T. Dyckerhoff, Compact generators in categories of matrix factorizations
2011
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