HOMFLYPT homology of Coxeter links

2017/05/31 by Oblomkov, Alexei, Rozansky, Lev
#Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1706.00124

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 \(ℂ²\).

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