arXiv:math/0011180 Abstract

arXiv:math/0011180 [math.AT]Abstract References Reviews Resources

On the Topology of Fibrations with Section and Free Loop Spaces

Published 2000-11-22Version 1

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.

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

Categories: math.AT

Subjects: 55P35, 55Q15, 55R05, 55R20

Keywords: free loop spaces, serre spectral sequence, free loop fibrations, differentials, brace products

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