The stable Adams conjecture and higher associative structures on Moore spectra

DOI10.4007/annals.2022.195.2.1zbMath1487.55022arXiv1803.11014OpenAlexW4214691511WikidataQ113692555 ScholiaQ113692555MaRDI QIDQ2078809

Prasit Bhattacharya, Nitu Kitchloo

Publication date: 4 March 2022

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.11014

zbMATH Keywords

étale homotopy theoryMoore spectrahigher associative structuresstable \(J\)-homomorphism

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Homotopy theory and fundamental groups in algebraic geometry (14F35) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Infinite loop spaces (55P47) (J)-homomorphism, Adams operations (19L20)

Related Items (2)

Higher associativity of Moore spectra ⋮ Wilson spaces, Snaith constructions, and elliptic orientations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The localization of spectra with respect to homology
• The spectra associated to permutative categories
• Cohomology of classifying spaces of complex Lie groups and related discrete groups
• Permutative categories, multicategories and algebraic \(K\)-theory
• On a space between \(BH\) and \(B_\infty\)
• The homology of iterated loop spaces
• Genetics of homotopy theory and the Adams conjecture
• Categories and cohomology theories
• A class of 2-local finite spectra which admit a \(v_2^1\)-self-map
• Rings, modules, and algebras in infinite loop space theory
• Etale homotopy
• The Adams conjecture
• Homotopy limits, completions and localizations
• On the groups \(J(X)\). I
• Etale Homotopy of Simplicial Schemes. (AM-104)
• MULTIPLICATIONS ON THE MOORE SPECTRUM
• The infinite loop Adams conjecture via classification theorems for ℱ-spaces
• Two proofs of the stable Adams conjecture
• The spectra associated to ℐ-monoids
• Ensembles profinis simpliciaux et interprétation géométrique du foncteur $T$
• The units of a ring spectrum and a logarithmic cohomology operation
• Massey Higher Products
• Extended $p$-th powers of complexes and applications to homotopy theory
• Symmetric Massey Products and a Hirsch Formula In Homology
• Homotopy Associativity of H-Spaces. I

This page was built for publication: The stable Adams conjecture and higher associative structures on Moore spectra