Stable homotopy groups
From MaRDI portal
Publication:6164640
DOI10.4171/mag/142zbMath1517.55002OpenAlexW4381163821MaRDI QIDQ6164640
Publication date: 4 July 2023
Published in: European Mathematical Society Magazine (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/mag/142
surveystabilizationobstructionAdams spectral sequencemotivic homotopy theorystable homotopy groups of spheres\(J\)-homomorphismexotic spheresframed cobordism
Stable homotopy groups (55Q10) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Stable homotopy of spheres (55Q45)
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
- The localization of spectra with respect to homology
- On the structure and applications of the Steenrod algebra
- On the non-existence of elements of Hopf invariant one
- Generalized Poincaré's conjecture in dimensions greater than four
- The topology of four-dimensional manifolds
- The motivic Adams spectral sequence
- A new differential in the Adams spectral sequence
- Genetics of homotopy theory and the Adams conjecture
- Calculs de groupes d'homotopie stables de la sphère, par la suite spectrale d'Adams-Novikov
- 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
- Computations of the Adams-Novikov \(E_2\)-term
- The Chow \(t\)-structure on the \(\infty\)-category of motivic spectra
- The triviality of the 61-stem in the stable homotopy groups of spheres
- On the groups \(J(X)\). IV
- A manifold which does not admit any differentiable structure
- Some differentials in the Adams spectral sequence
- The Kervaire invariant of framed manifolds and its generalization
- Some differentials in the Adams spectral sequence. II
- The Adams conjecture
- Groups of homotopy spheres. I
- On the nonexistence of elements of Kervaire invariant one
- The \((n+2)^{nd}\) homotopy group of the \(n\)-sphere
- Homologie singulière des espaces fibrés. Applications
- Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
- Groupes d'homotopie et classes de groupes abéliens
- On the homotopy groups of spheres and rotation groups
- Remarks on motivic homotopy theory over algebraically closed fields
- Compositional Methods in Homotopy Groups of Spheres. (AM-49)
- Cohomology Operations (AM-50)
- Detecting exotic spheres in low dimensions using coker J
- Relations Amongst Toda Brackets and the Kervaire Invariant in Dimension 62
- On the Structure of Manifolds
- Stable homotopy groups of spheres
- Stable Stems
- A First Approximation to Homotopy Theory
- SUR LES GROUPES D'EILENBERG-MAC LANE. II
- \(\mathbb{A}^1\)-homotopy theory of schemes
- Stable homotopy groups of spheres: from dimension 0 to 90
- Stable homotopy groups of spheres and motivic homotopy theory
This page was built for publication: Stable homotopy groups