Chas and Sullivan Algebra of Fibre Bundles
نویسنده
چکیده
We define shriek map for a finite codimensional embedding of fibration. We study the morphisms induced by this shriek maps in the Leray-Serre spectral sequence. As a byproduct we get two multiplicative spectral sequences of algebra wich converge to the Chas and Sullivan algebra H∗(LE) of the total space E of a fibration. We apply this technic to find some result on the intersection morphism I : H∗(LE) −→ H∗(ΩE) and to the space of free paths on a manifold M . AMS Classification : 55P35, 54N45,55N33, 17A65, 81T30, 17B55
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