Geodesic
Chains on suspension spectra
Strickland, Neil P1
1Department of Pure Mathematics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield S3 7RH, UK
Algebraic and Geometric Topology, Tome 9 (2009) no. 3, pp. 1681-1725
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We define and study a homological version of Sullivan’s rational de Rham complex for simplicial sets. This new functor can be generalised to simplicial symmetric spectra and in that context it has excellent categorical properties which promise to make a number of interesting applications much more straightforward.

DOI : 10.2140/agt.2009.9.1681
Keywords: rational homotopy, de Rham homology

Strickland, Neil P  1

1 Department of Pure Mathematics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield S3 7RH, UK 
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Strickland, Neil P. Chains on suspension spectra. Algebraic and Geometric Topology, Tome 9 (2009) no. 3, pp. 1681-1725. doi: 10.2140/agt.2009.9.1681

[1] D Barnes, Classifying rational $G$–spectra for finite $G$, Homology, Homotopy Appl. 11 (2009) 141

[2] S Eilenberg, J A Zilber, Semi-simplicial complexes and singular homology, Ann. of Math. $(2)$ 51 (1950) 499

[3] R Fritsch, R A Piccinini, Cellular structures in topology, Cambridge Studies in Advanced Math. 19, Cambridge University Press (1990)

[4] P Gabriel, M Zisman, Calculus of fractions and homotopy theory, Ergebnisse der Math. und ihrer Grenzgebiete, Band 35, Springer New York, New York (1967)

[5] J P C Greenlees, Rational torus-equivariant stable homotopy. I. Calculating groups of stable maps, J. Pure Appl. Algebra 212 (2008) 72

[6] J P C Greenlees, B Shipley, An algebraic model for free rational $G$–spectra for connected compact Lie groups $G$

[7] J P May, Simplicial objects in algebraic topology, Van Nostrand Math. Studies, No. 11, D. Van Nostrand Co., Princeton, N.J.-Toronto, Ont.-London (1967)

[8] D Quillen, Rational homotopy theory, Ann. of Math. $(2)$ 90 (1969) 205

[9] B Shipley, An algebraic model for rational $S^1$–equivariant stable homotopy theory, Q. J. Math. 53 (2002) 87

[10] D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. (1977)

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