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The loop-product spectral sequence

The loop-product spectral sequence

Authors :
Jean-François Le Borgne
Source :
Expositiones Mathematicae. 26(1):25-40
Publication Year :
2008
Publisher :
Elsevier BV, 2008.

Abstract

The purpose of this paper is to prove that the shriek map associated to a finite codimensional sub-fiberwise embedding between Hilbert manifolds behaves properly in regard of the associated Serre Spectral sequences. We apply this result to evaluate the Chas–Sullivan loop product of the total space of a fibration. Then, we compute up to extension issues the loop homology of sphere bundle of spheres.

Details

ISSN :
07230869
Volume :
26
Issue :
1
Database :
OpenAIRE
Journal :
Expositiones Mathematicae
Accession number :
edsair.doi.dedup.....90ca4cf118360597f5a2f74e4c148fa3
Full Text :
https://doi.org/10.1016/j.exmath.2007.04.002