Concept
Homotopy category
Publications associées (52)
Conditional Flatness, Fiberwise Localizations, And Admissible Reflections
We extend the group-theoretic notion of conditional flatness for a localization functor to any pointed category, and investigate it in the context of homological categories and of semi-abelian categories. In the presence of functorial fiberwise localizatio ...
CAMBRIDGE UNIV PRESS2023Cyclic $A_\infty$-algebras and cyclic homology
We provide a new description of the complex computing the Hochschild homology of an -unitary -algebra as a derived tensor product such that: (1) there is a canonical morphism from it to the complex computing the cyclic homology of that was introduced by Ko ...
2023A Shadow Perspective on Equivariant Hochschild Homologies
Kathryn Hess Bellwald, Inbar Klang
Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type invariants for monoids in a symmetric monoidal, simplicial model category V, as ...
OXFORD UNIV PRESS2022Hopf algebras and Hopf-Galois extensions in infinity-categories
In this thesis, we study interactions between algebraic and coalgebraic structures in infinity-categories (more precisely, in the quasicategorical model of (infinity, 1)-categories). We define a notion of a Hopf algebra H in an E-2-monoidal infinity-catego ...
EPFL2022