Brown–Peterson cohomology from Morava -theory
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Publication:2990006
DOI10.1112/S0010437X16008241zbMath1373.55002arXiv1509.05678MaRDI QIDQ2990006
Nathaniel Stapleton, Tobias Barthel
Publication date: 9 June 2017
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.05678
Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)
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Relative regular sequences and generalized cohomology of infinite real Grassmannians, Transfer ideals and torsion in the Morava \(E\)-theory of abelian groups
Cites Work
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- Completed power operations for Morava \(E\)-theory
- The localization of spectra with respect to homology
- Projective dimension and Brown-Peterson homology
- The congruence criterion for power operations in Morava \(E\)-theory
- A transchromatic proof of Strickland's theorem
- Uniqueness of infinite deloopings for K-theoretic spaces
- Nilpotence and stable homotopy theory. I
- BP operations and Morava's extraordinary K-theories
- Projective dimension of Brown-Peterson homology with modulo \((p,v_1,\dots,v_{n-1})\) coefficients
- Brown-Peterson cohomology from Morava \(K\)-theory
- Brown-Peterson cohomology from Morava \(K\)-theory. II
- \(v_ n\)-elements in ring spectra and applications to bordism theory
- Finite subgroups of formal groups
- Operations and co-operations in Morava \(E\)-theory
- The Tate spectrum \(v_ n\)-periodic complex oriented theories
- Transchromatic generalized character maps
- Localization of André-Quillen-Goodwillie towers, and the periodic homology of infinite loopspaces
- Elementary proofs of some results of cobordism theory using Steenrod operations
- Annihilator ideals and primitive elements in complex bordism
- Centralizers in good groups are good
- From 𝐾(𝑛+1)_{*}(𝑋) to 𝐾(𝑛)_{*}(𝑋)
- Complete modules and torsion modules
- Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups
- The Morava K-Theories of Eilenberg-MacLane Spaces and the Conner-Floyd Conjecture
- ELLIPTIC MODULES
- The exact functor theorem for ${BP_* }/ {I_n }$-theory
- Homological Properties of Comodules Over MU ∗ (MU) and BP ∗ (BP)
- Morava 𝐾-theories and localisation
- Invertible Spectra in the E (n )-Local Stable Homotopy Category
- Transfers of Chern classes in BP-cohomology and Chow rings
- The sigma orientation is an H [infinity map]
- Generalized group characters and complex oriented cohomology theories
- Subgroups of 𝑝-divisible groups and centralizers in symmetric groups
- Nilpotence and stable homotopy theory. II
- On Brown-Peterson cohomology of \(QX\)
