ON THE TOPOLOGY OF FIBRATIONS WITH SECTION AND FREE LOOP SPACES

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...

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Veröffentlicht in:Proceedings of the London Mathematical Society 2001-09, Vol.83 (2), p.419-442
Hauptverfasser: KALLEL, SADOK, SJERVE, DENIS
Format: Artikel
Sprache:eng
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Zusammenfassung: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 cases of spheres and wedges of spheres) are given. 2000 Mathematical Subject Classification: 55P35, 55Q15, 55R05, 55R20.
ISSN:0024-6115
1460-244X
DOI:10.1112/plms/83.2.419