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arXiv · 1706.00124

HOMFLYPT homology of Coxeter links

Alexei Oblomkov·Lev Rozansky
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Abstract

A Coxeter link is a closure of a product of two braids, one being a quasi-Coxeter element and the other being a product of partial full twists. This class of links includes torus knots \(T_{n,k}\) and torus links \(T_{n,nk}\). We identify the knot homology of a Coxeter link with the space of sections of a particular line bundle on a natural generalization of the punctual locus inside the flag Hilbert scheme of points in \(\mathbb{C}^2\).

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Alexei Oblomkov, Lev Rozansky. 2017-05-31. HOMFLYPT homology of Coxeter links. https://arxiv.org/abs/1706.00124

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