The $\mathfrak{sl}_n$ foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality
@article{Queffelec2014TheF, title={The \$\mathfrak\{sl\}\_n\$ foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality}, author={Hoel Queffelec and David E. V. Rose}, journal={arXiv: Quantum Algebra}, year={2014} }
66 Citations
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We show that Khovanov homology (and its sl(3) variant) can be understood in the context of higher representation theory. Specifically, we show that the combinatorially defined foam constructions of…
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We show that Khovanov homology (and its sl3 variant) can be understood in the context of higher representation theory. Specifically, we show that the combinatorially defined foam constructions of…
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In this paper we define an explicit basis for the $\mathfrak{sl}_n$-web algebra $H_n(\vec{k})$, the $\mathfrak{sl}_n$ generalization of Khovanov's arc algebra $H_{2}(m)$, using categorified $q$-skew…
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