Exact loop space sequences
Exploring W.G. Dwyer's tame homotopy theory.
Let Sr be the category of r-reduced simplicial sets, r ≥ 3; let Lr-1 be the category of (r-1)-reduced differential graded Lie algebras over Z. According to the fundamental work [3] of W.G. Dwyer both categories are endowed with closed model category structures such that the associated tame homotopy category of Sr is equivalent to the associated homotopy category of Lr-1. Here we embark on a study of this equivalence and its implications. In particular, we show how to compute homology, cohomology,...
Fake Lie groups and maximal tori. I.
Fake Lie groups and maximal tori. II.
Fake Lie groups and maximal tori. III.
Formalité des espaces de lacets libres
Gorenstein rings with transcendental Poincaré-series.
Graded Lie Algebras of depth one.
Group Extensions and Principal Fibrations.
Higher Forms of Homotopy Commutativity and Finite Loop Spaces.
Higher Torsion in SG and BSG.
Homologie des espaces de lacets des espaces de configuration
Nous calculons dans ce texte l’homologie de l’espace des lacets de l’espace des configurations ordonnées de points dans une variété compacte simplement connexe .
Homology of Function Spaces.
Homology of the double and triple loop space of SO (n).
Homotopie rationnelle et croissance du nombre de géodésiques fermées
Homotopy Nilpotency and Localization.
Homotopy orbits of free loop spaces
Let X be a space with free loop space ΛX and mod two cohomology R = H*X. We construct functors and ℓ(R) together with algebra homomorphisms and . When X is 1-connected and R is a symmetric algebra we show that these are isomorphisms.
Homotopy properties of loop spaces
Homotopy type of total loop spaces
Hopf algebras up to homotopy and the Bockstein spectral sequence.