From the reviews:" This is a very interesting book containing material for a comprehensive
study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras …

This book examines the differential geometry of manifolds, loop spaces, line bundles and
groupoids, and the relations of this geometry to mathematical physics. Applications …

We should state at the outset that the present article, intended primarily as a survey, contains
many results which are new and have not appeared elsewhere. Foremost among these is …

Let Γ be the category of finite pointed sets and F be a functor from Γ to the category of vector
spaces over a characteristic zero field. Loday proved that one has the natural decomposition …

Le but essentiel de cet article est d'6tudier une filtration naturelle de l'homologie de
Hochschild et de l'homologie cyclique des alg6bres commutatives. La m6thode employ6e …

Let M be a 1-connected closed manifold of dimension m and LM be the space of free loops
on MM Chas and D. Sullivan defined a structure of BV-algebra on the singular homology of …

We provide a generalization to the higher dimensional case of the construction of the current
algebra g ((z)), its Kac–Moody extension g˜ and of the classical results relating them to the …

On définit une théorie homologique spécifique aux algèbres de Poisson en appliquant une
procédure universelle définie par Quillen dans l'article [43]. On travaille dans tout l'article …

We study the derived representation scheme DRepn (A) parametrizing the n-dimensional
representations of an associative algebra A over a field of characteristic zero. We show that …

he shuf algebras Page 1 Journal of Pure and Applied Algebra 70 ( 1991) 263-2?2 North-Holland
263 he shuf algebras M. Gerstenhaber University of Pennsylvania, Philadelphia, PA 19104-6395 …