Serre Duality and the Whitehead Link
Representation Theory
2025-09-29 v1 Geometric Topology
Quantum Algebra
Abstract
We prove the action of the full twist is a Serre functor in the homotopy category of dihedral Soergel Bimodules. Our proof relies on the representability of a certain partial trace functor, which we prove using the diagrammatics for Hochschild cohomology of Soergel Bimodules. Leveraging these representability results, we then compute the triply-graded link homology of the Whitehead link.
Cite
@article{arxiv.2509.22133,
title = {Serre Duality and the Whitehead Link},
author = {Cailan Li},
journal= {arXiv preprint arXiv:2509.22133},
year = {2025}
}