5 papers
Serre Duality and the Whitehead Link
Cailan Li
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…
Infinite-Dimensional Towers and a Categorification of Differential Operators on
Chun-Ju Lai, Cailan Li
We introduce axioms for towers of infinite-dimensional algebras such that the corresponding Grothendieck groups of projective and finite-dimensional modules are Hopf dual to each o…
On Bi-rotary Maps of Negative Prime Power Euler Characteristic
Jiyong Chen, Zhaochen Ding, Cai Heng Li
A map is bi-orientable if it admits an assignment of local orientations to its vertices such that for every edge, the local orientations at its two endpoints are opposite. Such an…
Co-periods and central symmetric cube L-values
Li Cai, Yangyu Fan, Dongming She
In this article, we study the co-period integral attached to an automorphic form on $\GL(2)$ and two exceptional theta series on the cubic Kazhdan-Patterson cover of $\GL(2)$. In t…
The Last Three T-degrees in Triply-Graded Link Homology
Cailan Li
We investigate the structure of reduced triply graded link homology in the top/bottom three degrees for links arising as closures of positive/negative…