Algebraic Topology Rational Homotopy: Proceedings of a Conference held in Louvain-la-Neuve, Belgium, May 2–6, 1986

David J. Anick (auth.), Yves Felix (eds.)3540193405, 9783540193401

This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology. Most of the papers are original research papers dealing with rational homotopy and tame homotopy, cyclic homology, Moore conjectures on the exponents of the homotopy groups of a finite CW-c-complex and homology of loop spaces. Of particular interest for specialists are papers on construction of the minimal model in tame theory and computation of the Lusternik-Schnirelmann category by means articles on Moore conjectures, on tame homotopy and on the properties of Poincaré series of loop spaces.

---

Table of contents :
Recent progress in hilbert and poincare series….Pages 1-25
Homotopies d’algèbres de Lie et de leurs algèbres enveloppantes….Pages 26-30
Combinatorial homotopy….Pages 31-50
Cyclic homology of commutative algebras I….Pages 51-72
Cohomology of nilmanifolds….Pages 73-86
A dual simplicial de rham complex….Pages 87-91
Maps of BZ/pZ to BG ….Pages 92-98
Formalite d’une application et suite spectrale d’Eilenberg-Moore….Pages 99-123
An euler-poincare characteristic for 1-connected spaces with noetherian rational cohomology….Pages 124-137
Notions of category in differential algebra….Pages 138-154
Séries de poincaré des modules multi-gradués sur les anneaux monomiaux….Pages 155-161
Un modele de sullivan en homotopie moderee….Pages 162-191
Report on tame homotopy theory via differential forms….Pages 192-207
La filtration nilpotente de la categorie μ et la cohomologie des espaces de lacets….Pages 208-218
Moore conjectures….Pages 219-227
Cohomological physics….Pages 228-237
Cyclic homology and quillen homology of a commutative algebra….Pages 238-245