Morava $E$-homology of Bousfield-Kuhn functors on odd-dimensional spheres

DOI10.1090/proc/13727zbMath1422.55032arXiv1612.07461OpenAlexW2566789428MaRDI QIDQ4590998

Yifei Zhu

Publication date: 21 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07461

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Elliptic cohomology (55N34) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) (v_n)-periodicity (55Q51)

Related Items (6)

The Bousfield-Kuhn functor and topological André-Quillen cohomology ⋮ Algebraic theories of power operations ⋮ Spectral Algebra Models of Unstable $$v_n$$-Periodic Homotopy Theory ⋮ Lie algebras and \(v_n\)-periodic spaces ⋮ The Hecke algebra action and the Rezk logarithm on Morava E-theory of height 2 ⋮ Semistable models for modular curves and power operations for Morava E-theories of height 2

Cites Work

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• Cross-effects and the classification of Taylor towers
• A classification of Taylor towers of functors of spaces and spectra
• The congruence criterion for power operations in Morava \(E\)-theory
• A guide to telescopic functors
• Algebraic topology, rational homotopy. Proceedings of a conference held in Louvain-la-Neuve, Belgium, May 2-6, 1986
• The \(K\)-theory localizations and \(v_1\)-periodic homotopy groups of H-spaces
• The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres
• \(p\)-adic homotopy theory
• Morava \(E\)-theory of symmetric groups
• \(E_{\infty}\) algebras and \(p\)-adic homotopy theory
• On the 2-primary \(v_{1}\)-periodic homotopy groups of spaces
• Simplicial chains over a field and \(p\)-local homotopy theory
• Computations of the Adams-Novikov \(E_2\)-term
• The Bousfield-Kuhn functor and topological André-Quillen cohomology
• Hecke operators on \(\Gamma_0(m)\)
• Rational homotopy theory
• On the telescopic homotopy theory of spaces
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Lie algebra models for unstable homotopy theory
• Morava $E$-theory of filtered colimits

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