On the Topology of Fibrations with Section and Free Loop Spaces
Algebraic Topology
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0011180,
title = {On the Topology of Fibrations with Section and Free Loop Spaces},
author = {Sadok Kallel and Denis Sjerve},
journal= {arXiv preprint arXiv:math/0011180},
year = {2007}
}
Comments
23pages (to appear in Proc. London Math. Soc.)