Geodesic
Homology of torus knots
Mellit, Anton1
1 Faculty of Mathematics, University of Vienna, Vienna, Austria
Geometry & topology, Tome 26 (2022) no. 1, pp. 47-70.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Using the method of Elias and Hogancamp and combinatorics of toric braids from our proof of the rational shuffle conjecture, we give an explicit formula for the triply graded Khovanov–Rozansky homology (superpolynomial) of an arbitrary positive torus knot, thereby proving some of the conjectures of Aganagic and Shakirov, Cherednik, Gorsky and Negut, and Oblomkov, Rasmussen and Shende.

Classification : 05A15, 05E05, 57M27
Keywords: torus knots, Khovanov–Rozansky homology, Dyck paths, rational shuffle conjecture

Mellit, Anton 1

1 Faculty of Mathematics, University of Vienna, Vienna, Austria 
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Mellit, Anton. Homology of torus knots. Geometry & topology, Tome 26 (2022) no. 1, pp. 47-70. http://geodesic.mathdoc.fr/item/GT_2022_26_1_a1/

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