Yu Leon Liu

collaborators

3 papers

math.AT2024

$E_{n}$ -algebras in m-categories

Yu Leon Liu

We prove a connectivity bound for maps of $\infty$ -operads of the form $A_{k_{1}} \otimes \dots \otimes A_{k_{n}} \to E_{n}$ , and as a consequence, give an in…

math-ph2024

From bordisms of three-manifolds to domain walls between topological orders

Yu Leon Liu, Dalton A R Sakthivadivel

We study a correspondence between spin three-manifolds and bosonic abelian topological orders. Let $N$ be a spin three-manifold. We can define a $(2 + 1)$ -dimensional topological ord…

math.QA2024

A braided monoidal $(\infty, 2)$ -category of Soergel bimodules

Yu Leon Liu, Aaron Mazel-Gee, David Reutter +2

The Hecke algebras for all symmetric groups taken together form a braided monoidal category that controls all quantum link invariants of type A and, by extension, the standard cano…

En​-algebras in m-categories

From bordisms of three-manifolds to domain walls between topological orders

A braided monoidal (∞,2)-category of Soergel bimodules

$E_{n}$ -algebras in m-categories

A braided monoidal $(\infty, 2)$ -category of Soergel bimodules