tmf is not a ring spectrum quotient of string bordism

DOI10.1090/conm/707/14254zbMath1407.55003arXiv1312.2440OpenAlexW1904156467MaRDI QIDQ4686265

Carl S. McTague

Publication date: 9 October 2018

Published in: New Directions in Homotopy Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2440

zbMATH Keywords

elliptic cohomologytopological modular formring spectra

Mathematics Subject Classification ID

Elliptic genera (58J26) Elliptic cohomology (55N34) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43)

Related Items (1)

The Cayley plane and string bordism

Cites Work

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• The homotopy of MString and \(MU\langle 6\rangle\) at large primes
• A product for the odd-primary bordism of manifolds with singularities
• Spin cobordism determines real K-theory
• Multiplications in the complex bordism theory with singularities
• \(\mathbf H\mathbf P^ 2\)-bundles and elliptic homology
• Elliptic spectra, the Witten genus and the theorem of the cube
• Spin bordism and elliptic homology
• A Survey of Elliptic Cohomology
• EXISTENCE OF MULTIPLICATIVE STRUCTURES IN THE THEORIES OF COBORDISM WITH SINGULARITIES
• Products on 𝑀𝑈-modules
• On Bordism Theory of Manifolds with Singularities.
• Algèbre

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