Abstract
We show that the triply graded Khovanov–Rozansky homology of the torus link stabilizes as . We explicitly compute the stable homology, as a ring, which proves a conjecture of Gorsky, Oblomkov, Rasmussen and Shende. To accomplish this, we construct complexes of Soergel bimodules which categorify the Young symmetrizers corresponding to one-row partitions and show that is a stable limit of Rouquier complexes. A certain derived endomorphism ring of computes the aforementioned stable homology of torus links.
Citation
Matthew Hogancamp. "Categorified Young symmetrizers and stable homology of torus links." Geom. Topol. 22 (5) 2943 - 3002, 2018. https://doi.org/10.2140/gt.2018.22.2943
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