On the Topology of Fibrations with Section and Free Loop Spaces
Copyright policy )On the Topology of Fibrations with Section and Free Loop Spaces
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.
23pages (to appear in Proc. London Math. Soc.)
- University of British Columbia Canada
- University of Lille France
- university of lille France
55P35, 55Q15, 55R05, 55R20, Fiber spaces in algebraic topology, free loop space, Serre spectral sequence, Whitehead products and generalizations, FOS: Mathematics, Algebraic Topology (math.AT), Spectral sequences and homology of fiber spaces in algebraic topology, Mathematics - Algebraic Topology, brace product, Loop spaces
55P35, 55Q15, 55R05, 55R20, Fiber spaces in algebraic topology, free loop space, Serre spectral sequence, Whitehead products and generalizations, FOS: Mathematics, Algebraic Topology (math.AT), Spectral sequences and homology of fiber spaces in algebraic topology, Mathematics - Algebraic Topology, brace product, Loop spaces
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