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Characteristic zero loop space homology for certain two-cones

Calin Popescu (1999)

Commentationes Mathematicae Universitatis Carolinae

Given a principal ideal domain R of characteristic zero, containing 1/2, and a two-cone X of appropriate connectedness and dimension, we present a sufficient algebraic condition, in terms of Adams-Hilton models, for the Hopf algebra F H ( Ω X ; R ) to be isomorphic with the universal enveloping algebra of some R -free graded Lie algebra; as usual, F stands for free part, H for homology, and Ω for the Moore loop space functor.

Cohomology C ∞ -algebra and rational homotopy type

Tornike Kadeishvili (2009)

Banach Center Publications

In the rational cohomology of a 1-connected space a structure of C ∞ -algebra is constructed and it is shown that this object determines the rational homotopy type.

Cohomology of some graded differential algebras

Wojciech Andrzejewski, Aleksiej Tralle (1994)

Fundamenta Mathematicae

We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.

Componentwise injective models of functors to DGAs

Marek Golasiński (1997)

Colloquium Mathematicae

The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.

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