Cover Image

The Homotopy Theory of $A_\infty$Categories

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Ornaghi, Mattia
Format:	Preprint
Published:	2024
Subjects:	Algebraic Geometry Algebraic Topology Category Theory 14F08, 18E35, 18G70
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Tensor product of A$_{\infty}$-categories
by: Ornaghi, Mattia
Published: (2024)

A model structure on the category of A$_\infty$-categories with strict morphisms
by: Ornaghi, Mattia
Published: (2025)

A remark on fibrancy of ($\mbox{A$_{\infty}$Cat}$,$W^{\tiny\mbox{A}_{\infty}}_{\tiny\mbox{qe}}$)
by: Chen, Xiaofa, et al.
Published: (2024)

Some properties of the A$_{\infty}$-nerve
by: Ornaghi, Mattia
Published: (2016)

New examples of non-Fourier-Mukai exact functors via non-isomorphic octahedra
by: Canonaco, Alberto, et al.
Published: (2026)

Simple tilts of length hearts and simple-minded mutation
by: Broomhead, Nathan, et al.
Published: (2024)

Rigid Dualizing Complexes over Commutative Rings and their Functorial Properties
by: Ornaghi, Mattia, et al.
Published: (2024)

On the surjectivity of the map of spectra associated to a tensor-triangulated functor
by: Balmer, Paul
Published: (2017)

Geometric purity and the frame of smashing ideals
by: Gómez, Juan Omar, et al.
Published: (2026)

On representation categories of $A_\infty$-algebras and $A_\infty$-coalgebras
by: Banerjee, Abhishek, et al.
Published: (2021)

Obstructions for Associativity in Stable Homotopy Theory
by: Willumsgaard, Sophus Valentin
Published: (2026)

Cyclic A-infinity Algebras and Calabi--Yau Structures in the Analytic Setting
by: van Garderen, Okke
Published: (2023)

On the equivalence of the Lurie's $\infty$-operads and dendroidal $\infty$-operads
by: Hinich, Vladimir, et al.
Published: (2022)

Stratification of Derived Categories of Tate Motives
by: Rubinstein, David
Published: (2024)

A Representability Theorem for Stacks in Derived Geometry Contexts
by: Savage, Rhiannon
Published: (2024)

Localizing and colocalizing subcategories on schemes
by: Alonso, Leovigildo, et al.
Published: (2024)

Gluing of Fourier-Mukai partners in a triangular spectrum and birational geometry
by: Ito, Daigo
Published: (2023)

Stability Conditions on Abelian Comma Categories
by: de Oliveira, Ellen, et al.
Published: (2025)

On the profinite fundamental group of a connected Grothendieck topos
by: Berger, Clemens, et al.
Published: (2023)

A global proof of the homological excess intersection formula
by: Finegan, Oscar
Published: (2024)

Accessibility and Gorenstein injective envelopes
by: Estrada, Sergio, et al.
Published: (2026)

Universal support for triangulated categories
by: Balmer, Paul, et al.
Published: (2023)

Bounded t-structures on the category of perfect complexes
by: Neeman, Amnon
Published: (2022)

A new model structure on dendroidal spaces for the theory of $\infty$-operads
by: Candeias, João, et al.
Published: (2026)

Autoequivalences of Derived Categories of Moduli Spaces of Vector Bundles
by: Zuo, Haotian
Published: (2026)

A formal category theoretic approach to the homotopy theory of dg categories
by: Imamura, Yuki
Published: (2024)

Hochschild cohomology and extensions of triangulated categories
by: Lehmann, Alessandro, et al.
Published: (2025)

A new approach to formal moduli problems
by: Grignou, Brice Le, et al.
Published: (2023)

Serre functor and $\mathbb{P}$-objects for perverse sheaves on $\mathbb{P}^n$
by: Bonfert, Lukas, et al.
Published: (2025)

A minimal model for prestacks and morphisms of operadic algebras via Koszul duality for box operads
by: Hermans, Lander
Published: (2023)

The Localization Theorem for the Motivic Homotopy Theory of Complex Analytic Stacks and other Geometric Settings
by: Magen, Roy
Published: (2026)

The Hochschild homology of a noncommutative symmetric quotient stack
by: Anno, Rina, et al.
Published: (2025)

A universal characterization of the curved homotopy Lie and associative operads
by: Laplante-Anfossi, Guillaume, et al.
Published: (2024)

On the tensor-triangular geometry of isotropic motives
by: Sparks, Fraser
Published: (2025)

Definable functors between triangulated categories
by: Bird, Isaac, et al.
Published: (2023)

Templicial nerve of an A-infinity category
by: Marques, Violeta Borges, et al.
Published: (2024)

Koszul duality for algebras over infinity-operads
by: Hoffbeck, Eric, et al.
Published: (2026)

Homotopical algebra is not concrete
by: Loregian, Fosco, et al.
Published: (2017)

$\mathbb{P}^n$-functors
by: Anno, Rina, et al.
Published: (2019)

The Spectrum of Stable Infinity Categories with Actions
by: Matsukawa, Hisato
Published: (2025)