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An alternative approach to homotopy operations
Authors:
Marcel Bökstedt and Iver Ottosen
Journal:
Trans. Amer. Math. Soc. 358 (2006), 3985-3995
MSC (2000):
Primary 18G30, 18G55
Posted:
March 1, 2006
MathSciNet review:
2219006
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Abstract: We give a particular choice of the higher Eilenberg-Mac Lane maps by a recursive formula. This choice leads to a simple description of the homotopy operations for simplicial  -algebras.
References
- 1.
M. Bökstedt and I. Ottosen, A splitting result for the free loop spaces of spheres and projective spaces, Quart. J. Math. 56 (2005), 443-472. MR 2182460
- 2.
W. G. Dwyer, Homotopy Operations for Simplicial Commutative Algebras, Trans. Amer. Math. Soc. 260 (1980), 421-435. MR 0574789 (81e:55027)
- 3.
P. G. Goerss, On the André-Quillen Cohomology of Commutative
 -algebras, Astérisque 186 (1990). MR 1089001 (92b:18012)
- 4.
S. Mac Lane, Homology, Springer-Verlag, Berlin-New York, 1967.MR 0349792 (50:2285)
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Additional Information
Marcel Bökstedt
Affiliation:
Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, 8000 Århus C, Denmark
Email:
marcel@imf.au.dk
Iver Ottosen
Affiliation:
Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, 8000 Århus C, Denmark
Email:
ottosen@imf.au.dk
DOI:
http://dx.doi.org/10.1090/S0002-9947-06-03951-1
PII:
S 0002-9947(06)03951-1
Keywords:
Simplicial algebras
Received by editor(s):
June 15, 2004
Posted:
March 1, 2006
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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