Although it has been a well-known fact, for more than two decades, that category theory is
needed for the study of topological orders, it is still a non-trivial challenge for students and …

Rigid monoidal 1-categories are ubiquitous throughout quantum algebra and low-
dimensional topology. We study a generalization of this notion, namely rigid algebras in an …

In Mulevi\v {c} ius-Runkel, arXiv: 2002.00663, it was shown how a so-called orbifold datum
$\mathbb {A} $ in a given modular fusion category (MFC) $\mathcal {C} $ produces a new …

Enriched monoidal categories I: Centers Page 1 Quantum Topol. (Online first) DOI 10.4171/QT/217
© 2024 European Mathematical Society Published by EMS Press Enriched monoidal categories …

For a braided fusion category, a-fusion category is a fusion category equipped with a
braided monoidal functor. Given a fixed-fusion category and a fixed-graded extension as an …

We develop the Morita theory of fusion 2-categories. In order to do so, we begin by proving
that the relative tensor product of modules over a separable algebra in a fusion 2-category …

An orbifold datum is a collection A of algebraic data in a modular fusion category C. It allows
one to define a new modular fusion category CA in a construction that is a generalisation of …

Braided-enriched monoidal categories were introduced in the work of Morrison–Penneys,
where they were characterized using braided central functors. The recent work of Kong …

In [arXiv: 1509.02937], the notion of a module tensor category was introduced as a braided
monoidal central functor $ F\colon\mathcal {V}\longrightarrow\mathcal {T} $ from a braided …

Working in the context of operadic algebras in modules over the sphere spectrum, we study
completions with respect to invariants centered away from the base point—that is, centered …