On the Topology of Fibrations with Section and Free Loop Spaces

Details On the Topology of Fibrations with Section and Free Loop Spaces On the Topology of Fibrations with Section and Free Loop Spaces

2000-11-22

arxiv.org/abs/math/0011180v1

Mathematics

Algebraic Topology

23pages (to appear in Proc. London Math. Soc.)

Scientific paper

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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