From the 1 of 3 linked papers with an AI index.
3 papers
math.QA2026
Centers of Algebras in Monoidal 2-Categories
Hao Xu
The paper defines left, right, and full centers of algebras in monoidal 2‑categories, proves they are Morita invariant, and shows how this framework unifies several known center co…
math.CT2025
Module Categories As Spans
Hao Xu
We establish a correspondence between modules and spans of algebras within a general monoidal 2-category . Specifically, for an algebra in , we cons…
cs.CG2025
Hand-Shadow Poser
Hao Xu, Yinqiao Wang, Niloy J. Mitra +3
Hand shadow art is a captivating art form, creatively using hand shadows to reproduce expressive shapes on the wall. In this work, we study an inverse problem: given a target shape…