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arXiv · 1704.08485

2-Verma modules and the Khovanov-Rozansky link homologies

Grégoire Naisse·Pedro Vaz
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Abstract

We explain how Queffelec-Sartori's construction of the HOMFLY-PT link polynomial can be interpreted in terms of parabolic Verma modules for $\mathfrak{gl}_{2n}$. Lifting the construction to the world of categorification, we use parabolic 2-Verma modules to give a higher representation theory construction of Khovanov-Rozansky's triply graded link homology.

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BibTeXRIS

Grégoire Naisse, Pedro Vaz. 2017-04-27. 2-Verma modules and the Khovanov-Rozansky link homologies. https://arxiv.org/abs/1704.08485

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