Research
Research
Fray functors and equivalence of colored HOMFLYPT homologies. 2025, Accepted for publication in Quantum Topology.
Row-Column mirror symmetry for colored torus knot homology. Selecta Mathematica, 30 (2024), no. 97.
Reduced colored HOMFLY homology of torus knots. (In preparation.)
The papers above give an algorithm for computing the column-colored HOMFLY homology of positive torus knots in various models. Here is a program which implements this algorithm. If you find this program helpful or want to report bugs or suggest improvements, please email me!
I gave a minicourse on "Categorified Projectors and Colored HOMFLY Homology" in Belalp, Switzerland from September 1-4, 2025. You can find the notes from this course here.