3 papers
math.GT2025
Doubly-graded exponential growth of colored torus knot homology
Luke Conners
We give an invariant construction of reduced HOMFLY homology for arbitrary links reduced at components of arbitrary color and prove some structural properties relating this invaria…
math.QA2025
Fray functors and equivalence of colored HOMFLYPT homologies
Luke Conners
We construct several families of functors on the homotopy category of singular Soergel bimodules that mimic cabling and insertion of column-colored projectors. We use these functor…
math.GT2024
Row-Column Mirror Symmetry for Colored Torus Knot Homology
Luke Conners
We give a recursive construction of the categorified Young symmetrizer introduced by Abel-Hogancamp in arXiv:1510.05330 corresponding to the single-column partition. As a consequen…