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- W1844999913 abstract "We discuss a new perspective on Khovanov homology, using categorifications of tensor products. While in many ways more technically demanding than Khovanov's approach (and its extension by Bar-Natan), this has distinct advantage of directly connecting Khovanov homology to a categorification of $(mathbb{C}^2)^{otimes ell}$, and admitting a direct generalization to other Lie algebras. While the construction discussed is a special case of that given in previous work of the author, this paper contains new results about the special case of $mathfrak{sl}_2$ showing an explicit connection to Bar-Natan's approach to Khovanov homology, to the geometry of Grassmannians, and to the categorified Jones-Wenzl projectors of Cooper and Krushkal. In particular, we show that the colored Jones homology defined by our approach coincides with that of Cooper and Krushkal." @default.
- W1844999913 created "2016-06-24" @default.
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- W1844999913 date "2016-01-01" @default.
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- W1844999913 title "Tensor product algebras, Grassmannians and Khovanov homology" @default.
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- W1844999913 doi "https://doi.org/10.1090/conm/680/13699" @default.
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