The Dyer-Lashof algebra and the hit problems

zbMath1473.55009MaRDI QIDQ2045888

Yanyan Li

Publication date: 16 August 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2021/27-45.html

zbMATH Keywords

infinite loop spaceSteenrod algebrahit problemDyer-Lashof algebrasymmetric hit problemBecker-Gottlieb transfer

Mathematics Subject Classification ID

Steenrod algebra (55S10) Infinite loop spaces (55P47) Dyer-Lashof operations (55S12)

Related Items (1)

A NOTE ON A-ANNIHILATED GENERATORS OF H_*QX

Cites Work

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• A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem
• Stable splittings derived from the Steinberg module
• On the homology of elementary Abelian groups as modules over the Steenrod algebra
• The homology of the stable nonorientable mapping class group
• The transfer map and fiber bundles
• The Dyer-Lashof algebra and the \(\Lambda\)-algebra
• On the action of the Dyer-Lashof algebra in \(H*(G)\)
• Evaluation of the transfer and the universal surgery classes
• The homology of iterated loop spaces
• \(E_\infty\) ring spaces and \(E_\infty\) ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jorgen Tornehave
• On the subalgebra of \(H_*(({\mathbb{R}}\text{P}^\infty)^n;F_2)\) annihilated by Steenrod operations
• Mod \(p\) homology of the stable mapping class group
• Global structure of the mod two symmetric algebra, \(H^\ast(BO;\mathbb F_2)\) over the Steenrod Algebra
• Double point self-intersection surfaces of immersions
• Stable homotopy around the Arf-Kervaire invariant
• Rings of symmetric functions as modules over the Steenrod algebra
• The geometry of iterated loop spaces
• Reduced product spaces
• The hit problem for the Dickson algebra
• On ${H_* {\left( {\Omega ^N \left( {S^n } \right);Z_2 } \right)} }$
• The unstable Adams spectral sequence for free iterated loop spaces
• DYER-LASHOF OPERATIONS FOR THE CLASSIFYING SPACES OF CERTAIN MATRIX GROUPS
• Infinite loop maps in geometric topology
• Infinite Loop Spaces (AM-90)
• Problems in the Steenrod Algebra
• Generating H*(BO(3), ${\bb F}_2$) as a module over the Steenrod algebra
• The hit problem for symmetric polynomials over the Steenrod algebra
• A-Generators for the Dickson Algebra
• A NOTE ON A-ANNIHILATED GENERATORS OF H_*QX
• Polynomials and the mod 2 Steenrod Algebra
• Polynomials and the mod 2 Steenrod Algebra
• Sparseness for the symmetric hit problem at all primes
• Lectures on the stable homotopy of BG
• Homology of Iterated Loop Spaces
• The negative answer to Kameko's conjecture on the hit problem
• \(A\)-generators for ideals in the Dickson algebra

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