Lie algebras and \(v_n\)-periodic spaces
From MaRDI portal
Publication:2227558
DOI10.4007/annals.2021.193.1.3zbMath1481.55007arXiv1803.06325OpenAlexW3119874657MaRDI QIDQ2227558
Publication date: 15 February 2021
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.06325
chromatic homotopy theoryBousfield-Kuhn functor\(v_n\)-periodic homotopy groupsspectral Lie algebras
Rational homotopy theory (55P62) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) (v_n)-periodicity (55Q51)
Related Items (9)
\(\infty\)-operads via symmetric sequences ⋮ Integral models for spaces via the higher Frobenius ⋮ Ambidexterity in chromatic homotopy theory ⋮ Enriched functor categories for functor calculus ⋮ The genuine operadic nerve ⋮ The Bousfield-Kuhn functor and topological André-Quillen cohomology ⋮ Wilson spaces, Snaith constructions, and elliptic orientations ⋮ Goodwillie Approximations to Higher Categories ⋮ Homotopical Categories of Logics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chiral Koszul duality
- Operad bimodules and composition products on André-Quillen filtrations of algebras
- Tate cohomology and periodic localization of polynomial functors
- Homotopy coherent adjunctions and the formal theory of monads
- A guide to telescopic functors
- On inner Kan complexes in the category of dendroidal sets
- Nilpotence and stable homotopy theory. I
- Infinitesimal computations in topology
- The homology of certain subgroups of the symmetric group with coefficients in \(\text{Lie}(n)\)
- The \(K\)-theory localizations and \(v_1\)-periodic homotopy groups of H-spaces
- The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres
- Koszul duality for operads
- Calculus. III: Taylor series
- Homology and cohomology of \(E_\infty\) ring spectra
- The image of J in the EHP sequence
- Quasi-categories and Kan complexes
- Cellular spaces, null spaces and homotopy localization
- The Bousfield-Kuhn functor and topological André-Quillen cohomology
- The \(v_n\)-periodic Goodwillie tower on wedges and cofibres
- Enriched \(\infty \)-operads
- Localization of André-Quillen-Goodwillie towers, and the periodic homology of infinite loopspaces
- Bar constructions for topological operads and the {G}oodwillie derivatives of the identity
- On the groups \(J(X)\). IV
- Rational homotopy theory
- On the telescopic homotopy theory of spaces
- Partition Complexes, Tits Buildings and Symmetric Products
- Dendroidal sets as models for homotopy operads
- Operads and chain rules for the calculus of functors
- Bar-cobar duality for operads in stable homotopy theory
- The v 1 -Periodic Homotopy Groups of an Unstable Sphere at Odd Primes
- Unstable v 1 -Periodic Homotopy Groups of a Moore Space
- Localization and Periodicity in Unstable Homotopy Theory
- Morava $E$-homology of Bousfield-Kuhn functors on odd-dimensional spheres
- A short proof of telescopic Tate vanishing
- Monadicity of the Bousfield–Kuhn functor
- Spectral Algebra Models of Unstable $$v_n$$-Periodic Homotopy Theory
- The Goodwillie tower and the EHP sequence
- The units of a ring spectrum and a logarithmic cohomology operation
- Higher Topos Theory (AM-170)
- Nilpotence and stable homotopy theory. II
This page was built for publication: Lie algebras and \(v_n\)-periodic spaces