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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. doi:10.1007/s00222-002-0272 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | INVENTIONES MATHEMATICAE | ||||
Publisher: | SPRINGER-VERLAG | ||||
ISSN: | 0020-9910 | ||||
Official Date: | May 2003 | ||||
Dates: |
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Volume: | 152 | ||||
Number: | 2 | ||||
Number of Pages: | 18 | ||||
Page Range: | pp. 331-348 | ||||
DOI: | 10.1007/s00222-002-0272 | ||||
Publication Status: | Published |
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