Stable homotopy groups of spheres

DOI10.1073/pnas.2012335117zbMath1485.55017arXiv2001.04247OpenAlexW3087692116WikidataQ99594093 ScholiaQ99594093MaRDI QIDQ5073173

Zhouli Xu, Guozhen Wang, Daniel C. Isaksen

Publication date: 5 May 2022

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04247

Mathematics Subject Classification ID

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

Related Items (11)

On the May spectral sequence at the prime 2 ⋮ M/F-theory as Mf-theory ⋮ On the motivic Segal conjecture ⋮ The telescope conjecture at height 2 and the tmf resolution ⋮ A survey of the homology cobordism group ⋮ Stable homotopy groups ⋮ Stable homotopy groups of spheres and motivic homotopy theory ⋮ Some smooth circle and cyclic group actions on exotic spheres ⋮ Counterexamples in 4-manifold topology ⋮ Mahowald square and Adams differentials ⋮ The Chow \(t\)-structure on the \(\infty\)-category of motivic spectra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Motivic Eilenberg-MacLane spaces
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• The Steenrod algebra and its dual
• On the structure and applications of the Steenrod algebra
• A new differential in the Adams spectral sequence
• Nilpotence and stable homotopy theory. I
• Stable homotopy groups of spheres. A computer-assisted approach
• On the 2-components of the unstable homotopy groups of spheres. I
• Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
• The motivic cofiber of \(\tau\)
• Reduced power operations in motivic cohomology
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• The special fiber of the motivic deformation of the stable homotopy category is algebraic
• The \((n+20)\)-th homotopy groups of \(n\)-spheres
• On the generalized Hopf homomorphism and the higher composition. I, II: \(\pi_{n+i}(S^n)\) for \(i = 21\) and \(22\)
• The triviality of the 61-stem in the stable homotopy groups of spheres
• On the groups \(J(X)\). IV
• Some differentials in the Adams spectral sequence
• A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers
• Some differentials in the Adams spectral sequence. II
• Groups of homotopy spheres. I
• On the nonexistence of elements of Kervaire invariant one
• Homologie singulière des espaces fibrés. Applications
• Groupes d'homotopie et classes de groupes abéliens
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Cohomology Operations (AM-50)
• Detecting exotic spheres in low dimensions using coker J
• Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
• DETERMINATION OF 2-COMPONENTS OF THE 23 AND 24-STEMS IN HOMOTOPY GROUPS OF SPHERES
• Stable Stems
• Nilpotence and stable homotopy theory. II
• \(\mathbb{A}^1\)-homotopy theory of schemes

This page was built for publication: Stable homotopy groups of spheres