Higher symmetries in abstract stable homotopy theories
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Publication:4965244
DOI10.1090/conm/758/15233zbMath1469.55015arXiv1904.00580OpenAlexW3109362737MaRDI QIDQ4965244
Publication date: 26 February 2021
Published in: Representation Theory and Beyond (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.00580
Stable homotopy theory, spectra (55P42) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Topological categories, foundations of homotopy theory (55U40) Research exposition (monographs, survey articles) pertaining to category theory (18-02) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80)
Cites Work
- Abstract representation theory of Dynkin quivers of type \(A\)
- Fibrations and Yoneda's lemma in an \(\infty\)-cosmos
- Stable frames in model categories
- Kan extensions and the calculus of modules for \(\infty\)-categories
- Generalized Serre duality
- Derived equivalences of triangular matrix rings arising from extensions of tilting modules
- Relative homological algebra in the category of quasi-coherent sheaves.
- On the derived category of a finite-dimensional algebra
- Separability and triangulated categories
- Model structures on exact categories
- Stratifying modular representations of finite groups.
- Stable homotopy theories and stabilization
- Mayer-Vietoris sequences in stable derivators
- Un théorème de dualité
- Homotopiemengen und ihre induzierten Abbildungen. I.-II.: Sphärenähnliche Mannigfaltigkeiten
- Group-like structures in general categories. I. Multiplications and comultiplications
- Tame algebras and integral quadratic forms
- The Auslander-Reiten formula for complexes of modules.
- Universality of multiplicative infinite loop space machines
- Tilting theory for trees via stable homotopy theory
- Derivability structures
- Higher \(K\)-theory via universal invariants
- About Quillen's homotopy theorie of derivatives
- Local and stable homological algebra in Grothendieck abelian categories
- Equivariant stable homotopy theory. With contributions by J. E. McClure
- Simplicial presheaves
- \(\mathbb{A}^1\)-homotopy theory
- Calculus. II: Analytic functors
- Motivic symmetric spectra
- Homotopy (pre)derivators of cofibration categories and quasicategories
- Systems of diagram categories and K-theory. II
- Tilting theory via stable homotopy theory
- Categories and cohomology theories
- Homotopy invariant algebraic structures on topological spaces
- The connection between May's axioms for a triangulated tensor product and Happel's description of the derived category of the quiver \(D_4\)
- Cotorsion pairs, model category structures, and representation theory
- Stable model categories are categories of modules
- Cohomological direct images in model categories
- Derivators, pointed derivators and stable derivators
- Relative homological algebra
- Künneth formulas for motives and additivity of traces
- Simplicial structures in higher Auslander-Reiten theory
- The 2-category theory of quasi-categories
- Abstract tilting theory for quivers and related categories
- Models for singularity categories.
- Traces in monoidal derivators, and homotopy colimits
- On derived equivalences of categories of sheaves over finite posets
- Triangulated categories without models
- Modules over operads and functors
- Stable homotopy theory. I.
- Homotopical algebra
- Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
- Homotopy limits, completions and localizations
- On triangulated orbit categories
- Triangulated Categories
- Model category structures on chain complexes of sheaves
- Reconstruction of a variety from the derived category and groups of autoequivalences
- Model Categories of Diagram Spectra
- Noetherian hereditary abelian categories satisfying Serre duality
- Homotopy theory of diagrams
- Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves
- Support theory via actions of tensor triangulated categories
- Symmetric monoidal structure on non-commutative motives
- Abelian Hereditary Fractionally Calabi-Yau Categories
- The Integral Cluster Category
- Homotopical exact squares and derivators
- Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory
- Catégories dérivables
- Algebraic versus topological triangulated categories
- Twists of K-theory and TMF
- Equivariant orthogonal spectra and 𝑆-modules
- A whirlwind tour of the world of (∞,1)-categories
- Duality between D(X) and with its application to picard sheaves
- Derived categories and universal problems
- ENHANCED TRIANGULATED CATEGORIES
- A Survey of (∞, 1)-Categories
- A 2-Categories Companion
- A model category structure on the category of simplicial categories
- HZ -algebra spectra are differential graded algebras
- REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
- Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
- Framed bicategories and monoidal fibrations
- Homotopy theories
- Coxeter Functors Without Diagrams
- Tilted Algebras
- Higher algebraic K-theory: I
- Pull-Backs in Homotopy Theory
- Deriving DG categories
- Axiomatic stable homotopy theory
- Homological algebra of homotopy algebras
- Idempotent Modules in the Stable Category
- Algebras and Modules in Monoidal Model Categories
- A model for the homotopy theory of homotopy theory
- Revisiting the canonicity of canonical triangulations
- Introduction to bicategories
- The linearity of fixed point invariants
- Symmetric spectra
- Derived Equivalences As Derived Functors
- Sheafifiable homotopy model categories
- A short course on ∞-categories
- Non-connective K-theory via universal invariants
- The n -order of algebraic triangulated categories
- Systems of diagram categories and $K$-theory. I
- The additivity of traces in monoidal derivators
- Higher Topos Theory (AM-170)
- Stable homotopy categories
- The linearity of traces in monoidal categories and bicategories
- \(\mathbb{A}^1\)-homotopy theory of schemes
- The additivity of traces in triangulated categories
- Universal homotopy theories
- Combinatorial model categories have presentations
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