The Cayley plane and string bordism

DOI10.2140/gt.2014.18.2045zbMath1323.55007arXiv1111.4520OpenAlexW2100634880WikidataQ29040802 ScholiaQ29040802MaRDI QIDQ463144

Carl S. McTague

Publication date: 16 October 2014

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

Full work available at URL: https://arxiv.org/abs/1111.4520

zbMATH Keywords

characteristic numberselliptic genuselliptic cohomologyWitten genusCayley plane bundlesstring orientation

Mathematics Subject Classification ID

Elliptic genera (58J26) Elliptic cohomology (55N34) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Other types of cobordism (57R90)

Related Items

On the Greatest Common Divisor of Binomial Coefficients ⋮ Unnamed Item ⋮ tmf is not a ring spectrum quotient of string bordism ⋮ On characteristic numbers of 24 dimensional string manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Projective dimension and Brown-Peterson homology
• Erzeugende der Thomschen Algebra \({\mathfrak N}\)
• Determination of the cobordism ring
• The homotopy of MString and \(MU\langle 6\rangle\) at large primes
• Splitting certain \(M\;spin\)-module spectra
• \(\mathbf H\mathbf P^ 2\)-bundles and elliptic homology
• A conjecture concerning positive Ricci curvature and the Witten genus
• On the Stiefel-Whitney numbers of complex manifolds and of spin manifolds
• The structure of the Spin cobordism ring
• A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers
• On \( < 8 > \) -cobordism
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Quelques propriétés globales des variétés différentiables
• Characteristic Classes and Homogeneous Spaces, I
• Characteristic Classes. (AM-76)
• The Ω-Spectrum for Brown-Peterson Cohomology Part II
• tmf is not a ring spectrum quotient of string bordism
• The 7-Connected Cobordism Ring at p = 3
• On Fibering of Cobordism Classes
• The Hopf ring for complex cobordism

This page was built for publication: The Cayley plane and string bordism