Stable homotopy groups of spheres: from dimension 0 to 90

DOI10.1007/s10240-023-00139-1zbMath1528.55010arXiv2001.04511OpenAlexW4368366336MaRDI QIDQ6161724

Daniel C. Isaksen, Zhouli Xu, Guozhen Wang

Publication date: 5 June 2023

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04511

zbMATH Keywords

Adams spectral sequencestable homotopy groupsalgebraic Novikov spectral sequencemotivic modular forms\(\mathbb{C}\)-motivic cellular homotopy theory

Mathematics Subject Classification ID

Adams spectral sequences (55T15) Motivic cohomology; motivic homotopy theory (14F42) Stable homotopy of spheres (55Q45)

Related Items (4)

A correspondence between higher Adams differentials and higher algebraic Novikov differentials at odd primes ⋮ A survey of the homology cobordism group ⋮ The reduced ring of the 𝑅𝑂(𝐶₂)-graded 𝐶₂-equivariant stable stems ⋮ Stable homotopy groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The strong Kervaire invariant problem in dimension 62
• Motivic Eilenberg-MacLane spaces
• On the non-existence of elements of Hopf invariant one
• The cohomology of motivic \(A\)(2)
• A new differential in the Adams spectral sequence
• Stable homotopy groups of spheres. A computer-assisted approach
• Some extensions in the Adams spectral sequence and the 51-stem
• The motivic cofiber of \(\tau\)
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Bordism, stable homotopy and Adams spectral sequences
• The special fiber of the motivic deformation of the stable homotopy category is algebraic
• Computations of the Adams-Novikov \(E_2\)-term
• \(\mathbb{C}\)-motivic modular forms
• Motivic stable homotopy and the stable 51 and 52 stems
• The \(\eta\)-local motivic sphere
• The triviality of the 61-stem in the stable homotopy groups of spheres
• Some differentials in the Adams spectral sequence
• Secondary compositions pairings and the Adams spectral sequence
• Matric Massey products
• On the cohomology of the Steenrod algebra
• Some differentials in the Adams spectral sequence. II
• Groups of homotopy spheres. I
• On the nonexistence of elements of Kervaire invariant one
• Milnor-Moore theorems for bialgebras in characteristic zero
• Synthetic spectra and the cellular motivic category
• Remarks on motivic homotopy theory over algebraically closed fields
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Detecting exotic spheres in low dimensions using coker J
• Relations Amongst Toda Brackets and the Kervaire Invariant in Dimension 62
• A Chain Functor For Bordism
• The Adams Spectral Sequence for Topological Modular Forms
• An extension in the Adams spectral sequence in dimension 54
• When is a fourfold Massey product defined?
• Stable Stems
• The telescope conjecture at height 2 and the tmf resolution

This page was built for publication: Stable homotopy groups of spheres: from dimension 0 to 90