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On the Topology of Fibrations with Section and Free Loop Spaces

Sadok Kallel·Denis Sjerve
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Abstract

We relate the brace products of a fibration with section to the differentials in its serre spectral sequence. In the particular case of free loop fibrations, we establish a link between these differentials and browder operations in the fiber. Applications and several calculations (for the particular case of spheres and wedges of spheres) are given.

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Sadok Kallel, Denis Sjerve. 2000-11-22. On the Topology of Fibrations with Section and Free Loop Spaces. https://arxiv.org/abs/math/0011180

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