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- Q7825037 subject Q13252973.
- Q7825037 subject Q8800142.
- Q7825037 abstract "In mathematics, the spectrum of topological modular forms (tmf) describes a generalized cohomology theory whose coefficient ring is related to the graded ring of holomorphic modular forms with integral cusp expansions. Indeed, these two rings become isomorphic after inverting 6. tmf is constructed as the global sections of a sheaf of E-infinity ring spectra on the moduli stack of (generalized) elliptic curves. This theory has relations to the theory of modular forms in number theory, the homotopy groups of spheres, and conjectural index theories on loop spaces of manifolds. tmf was first constructed by Mike Hopkins and Haynes Miller; many of the computations can be found in preprints and articles by Paul Goerss, Mike Hopkins, Mark Mahowald, Haynes Miller, Charles Rezk, and Tilman Bauer.".
- Q7825037 wikiPageExternalLink sum.pdf.
- Q7825037 wikiPageExternalLink 0212397.
- Q7825037 wikiPageExternalLink 0311328.
- Q7825037 wikiPageExternalLink Survey.pdf.
- Q7825037 wikiPageExternalLink buildTMF.pdf.
- Q7825037 wikiPageExternalLink item=surv-201.
- Q7825037 wikiPageExternalLink survey.pdf.
- Q7825037 wikiPageExternalLink eo2homotopy.pdf.
- Q7825037 wikiPageExternalLink 512-spr2001-notes.pdf.
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- Q7825037 comment "In mathematics, the spectrum of topological modular forms (tmf) describes a generalized cohomology theory whose coefficient ring is related to the graded ring of holomorphic modular forms with integral cusp expansions. Indeed, these two rings become isomorphic after inverting 6. tmf is constructed as the global sections of a sheaf of E-infinity ring spectra on the moduli stack of (generalized) elliptic curves.".
- Q7825037 label "Topological modular forms".