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arxiv: math/0011180 · v1 · submitted 2000-11-22 · 🧮 math.AT

On the Topology of Fibrations with Section and Free Loop Spaces

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keywords casedifferentialsfibrationsfreeloopparticularsectionspheres
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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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