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math.RT2025
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…
math.RT2025
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…
math.RT2025
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…