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The loop-product spectral sequence
The loop-product spectral sequence
- 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