The radius of convergence of Poincaré series of loop spaces

DOI10.1007/BF01394059zbMath0476.55016OpenAlexW1966801380MaRDI QIDQ1160453

Yves Félix, Jean-Claude Thomas

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142935

zbMATH Keywords

complete intersectionpolynomial algebraLusternik-Schnirelmann categoryBetti- Poincare series of a noetherian connected graded commutative algebraformal and coformal spacesPoincare-Koszul seriesradius of convergence of the Poincare series of a loop spacerational homotopy Lie algebra of a finite 1-connected CW-complex

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62) Loop spaces (55P35) Complete intersections (14M10) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (13)

Invariant theory of Artin-Schelter regular algebras: a survey ⋮ Finiteness conditions on the Yoneda algebra of a monomial algebra. ⋮ On the deviations of a \(\mathbb{Q}\)-algebra ⋮ On the Betti numbers of the free loop space of a coformal space ⋮ Local rings of finite simplicial dimension ⋮ Affine varieties, singularities and the growth rate of wrapped Floer cohomology ⋮ Homotopie rationnelle et croissance du nombre de géodésiques fermées ⋮ On the growth of deviations ⋮ Homotopie rationnelle et croissance du nombre de géodésiques fermées ⋮ On the ranks of homotopy groups of two-cones ⋮ Noncommutative complete intersections ⋮ Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos ⋮ Loop space homology -- problems and questions

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