The homotopy of MString and \(MU\langle 6\rangle\) at large primes

DOI10.2140/agt.2008.8.2401zbMath1165.55001OpenAlexW2148991626MaRDI QIDQ1007196

Mark A. Hovey

Publication date: 20 March 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2008.8.2401

zbMATH Keywords

Brown-Peterson spectrumstring manifoldThom spectrum

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Other types of cobordism (57R90) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Related Items

The Cayley plane and string bordism ⋮ tmf is not a ring spectrum quotient of string bordism ⋮ String bordism and chromatic characteristics ⋮ On the topological contents of \(\eta\)-invariants

Cites Work

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• The Hopf ring for \(bo\) and its connective covers
• Commutative coherent rings
• The Hopf ring for complex cobordism
• Elliptic spectra, the Witten genus and the theorem of the cube
• The Morava \(K\)-theory of spaces related to \(BO\)
• The Ω-Spectrum for Brown-Peterson Cohomology Part II
• The periodic Hopf ring of connective Morava K-theory
• The Homotopy Type of MSU
• The 7-Connected Cobordism Ring at p = 3