3 papers
math.CT2019
A Larson-Sweedler Theorem for Hopf V-Categories
Mitchell Buckley, Timmy Fieremans, Christina Vasilakopoulou +1
The aim of this paper is to extend the classical Larson-Sweedler theorem, namely that a k-bialgebra has a non-singular integral (and in particular is Frobenius) if and only if it i…
math.CT2017
Oplax Hopf Algebras
Mitchell Buckley, Timmy Fieremans, Christina Vasilakopoulou +1
We introduce the notion of an oplax Hopf monoid in any braided monoidal bicategory, generalizing that of a Hopf monoid in a braided monoidal category in an appropriate way. We show…
math.CT2012
Fibred 2-categories and bicategories
Mitchell Buckley
We generalise the usual notion of fibred category; first to fibred 2-categories and then to fibred bicategories. Fibred 2-categories correspond to 2-functors from a 2-category into…