The Morava \(K\)-theory of spaces related to \(BO\)

DOI10.1016/j.aim.2003.10.008zbMath1063.55002OpenAlexW2034163506MaRDI QIDQ1887450

W. Stephen Wilson, Nitu Kitchloo, Gerd Laures

Publication date: 26 November 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.10.008

zbMATH Keywords

\(K\)-theoryMorava \(K\)-theoryBrown-Peterson Cohomology

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Topological (K)-theory (55N15)

Related Items (15)

Polynomial behavior of the Honda formal group law ⋮ Splittings of bicommutative Hopf algebras. ⋮ The mod 2 Hopf ring for connective Morava \(K\)-theory ⋮ Cannibalistic classes of string bundles ⋮ Towards a splitting of the $K(2)$-local string bordism spectrum ⋮ On the Hopf ring for \(ER(n)\) ⋮ Twisted Morava \(K\)-theory and connective covers of Lie groups ⋮ Landweber flat real pairs and \(ER(n)\)-cohomology ⋮ The connective real \(K\)-theory of Brown-Gitler spectra ⋮ The Morava \(K\)-theory of \(BO(q)\) and \(MO(q)\) ⋮ \(TMF_0(3)\)-characteristic classes for string bundles ⋮ Characteristic classes in $TMF$ of level $\Gamma _1(3)$ ⋮ The homotopy type of the space of symplectic balls in rational ruled 4-manifolds ⋮ The homotopy of MString and \(MU\langle 6\rangle\) at large primes ⋮ The torsion index of the spin groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Commutative ring-spectra of characteristic 2
• Pointed Hopf algebras are free over Hopf subalgebras
• Brown-Peterson cohomology from Morava \(K\)-theory
• Brown-Peterson cohomology from Morava \(K\)-theory. II
• Elliptic spectra, the Witten genus and the theorem of the cube
• Real structures and Morava K-theories
• Transfer and complex oriented cohomology rings
• Splittings of bicommutative Hopf algebras.
• On \(\lambda\)-rings and the \(K\)-theory of infinite loop spaces
• Bordism, stable homotopy and Adams spectral sequences
• On the structure of Hopf algebras
• The cohomology of stable two stage Postnikov systems
• Lectures on the Eilenberg-Moore spectral sequence
• The Complex Cobordism of BO _n
• MULTIPLICATIONS IN COBORDISM THEORIES WITH SINGULARITIES, AND STEENROD-TOM DIECK OPERATIONS
• The Morava K-Theories of Eilenberg-MacLane Spaces and the Conner-Floyd Conjecture
• Homological Properties of Comodules Over MU ∗ (MU) and BP ∗ (BP)
• On the Morava K-Theories of SO(2n + 1)
• GENERALIZED HOMOLOGY AND THE GENERALIZED VECTOR FIELD PROBLEM
• Determination of H ∗ (BO(k,...,∞), Z 2 ) and H ∗ (BU(k,..., ∞),Z 2 )
• On Brown-Peterson cohomology of \(QX\)
• The Morava \(K\)-theory and Brown-Peterson cohomology of spaces related to \(BP\).
• On \(p\)-adic \(\lambda\)-rings and the \(K\)-theory of \(H\)-spaces

This page was built for publication: The Morava \(K\)-theory of spaces related to \(BO\)