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Gamma homology, Lie representations and E-infinity multiplications
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UNSPECIFIED. (2003) Gamma homology, Lie representations and E-infinity multiplications. INVENTIONES MATHEMATICAE, 152 (2). pp. 331-348. ISSN 0020-9910
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Official URL: http://dx.doi.org/10.1007/s00222-002-0272
Abstract
We prove that the stable homotopy of any Gamma-module F is the homology of a bicomplex Xi(F), in which the (q - 1)st row is the two-sided bar construction B(Lie(q)*, Sigma(q), F[q]). This gives a natural homotopical cotangent bicomplex for graded commutative algebras, in a form suitable for use in a new obstruction theory for classifying E-infinity ring structures on spectra. The E-infinity structure on certain Lubin-Tate spectra is a corollary.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | INVENTIONES MATHEMATICAE |
| Publisher: | SPRINGER-VERLAG |
| ISSN: | 0020-9910 |
| Date: | May 2003 |
| Volume: | 152 |
| Number: | 2 |
| Number of Pages: | 18 |
| Page Range: | pp. 331-348 |
| Identification Number: | 10.1007/s00222-002-0272 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/9765 |
Data sourced from Thomson Reuters' Web of Knowledge
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