On functorial (co) localization of algebras and modules over operads

JJ Gutiérrez, O Röndigs, M Spitzweck… - Abhandlungen aus dem …, 2021 - Springer
On functorial (co)localization of algebras and modules over operads | Abhandlungen aus
dem Mathematischen Seminar der Universität Hamburg Skip to main content SpringerLink …

The equivariant parametrized h-cobordism theorem, the non-manifold part

C Malkiewich, M Merling - Advances in Mathematics, 2022 - Elsevier
We construct a map from the suspension G-spectrum Σ G∞ M of a smooth compact G-
manifold to the equivariant A-theory spectrum AG (M), and we show that its fiber is, on fixed …

[图书][B] Grothendieck Construction of Bipermutative-Indexed Categories

D Yau - 2023 - books.google.com
The Grothendieck construction provides an explicit link between indexed categories and
opfibrations. It is a fundamental concept in category theory and related fields with far …

[PDF][PDF] Permutative G-categories in equivariant infinite loop space theory

B Guillou, JP May - arXiv preprint arXiv:1207.3459, 2012 - Citeseer
We explain what genuine permutative G-categories are and, more generally, what E∞ G-
categories are. We give examples showing how they arise, and we show that they serve as …

Equivariant algebraic -theory of symmetric monoidal Mackey functors

M Calle, D Chan, M Péroux - arXiv preprint arXiv:2312.04705, 2023 - arxiv.org
We provide a unifying approach to different constructions of the algebraic $ K $-theory of
equivariant symmetric monoidal categories. A consequence of our work is that every …

Comparing localizations across adjunctions

C Casacuberta, O Raventós, A Tonks - Transactions of the American …, 2021 - ams.org
We show that several apparently unrelated formulas involving left or right Bousfield
localizations in homotopy theory are induced by comparison maps associated with pairs of …

Categorical models of unstable G-global homotopy theory

T Lenz - arXiv preprint arXiv:2109.02067, 2021 - arxiv.org
We prove that the category $\textbf {G-Cat} $ of small categories with $ G $-action forms a
model of unstable $ G $-global homotopy theory for every discrete group $ G $, generalizing …

Transfer of algebras over operads along Quillen adjunctions

JJ Gutiérrez - Journal of the London Mathematical Society, 2012 - Wiley Online Library
Let 𝒱 be a cofibrantly generated monoidal model category and ℳ be a monoidal 𝒱‐model
category. If C is any set, then we denote by ℳC the product category of copies of ℳ indexed …

Derived representation theory of Lie algebras and stable homotopy categorification of slk

P Hu, I Kriz, P Somberg - Advances in Mathematics, 2019 - Elsevier
We set up foundations of representation theory over S, the sphere spectrum, which is the
“initial ring” of stable homotopy theory. In particular, we treat S-Lie algebras and their …

The stable Adams conjecture and higher associative structures on Moore spectra

P Bhattacharya, N Kitchloo - Annals of Mathematics, 2022 - projecteuclid.org
In this paper, we provide a new proof of the stable Adams conjecture. Our proof constructs a
canonical null-homotopy of the stable J-homomorphism composed with a virtual Adams …