Geometric decompositions, algebraic models and rigidity theorems

DOI10.1016/0022-4049(91)90040-9zbMath0728.55005OpenAlexW2059935127MaRDI QIDQ805001

Martin Markl, Stefan Papadima

Publication date: 1991

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90040-9

zbMATH Keywords

Lie algebra cohomologyHarrison cohomologyHurewicz homomorphismrational cohomology algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Rational homotopy theory (55P62) Cohomology of Lie (super)algebras (17B56)

Related Items (5)

A cohomology theory for \(A(m)\)-algebras and applications ⋮ Moduli spaces for generic low-dimensional complexes ⋮ Homotopy Lie algebras and fundamental groups via deformation theory ⋮ Cotangent cohomology of a category of deformations ⋮ Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
• The Lie algebra structure of tangent cohomology and deformation theory
• Rational Poincaré duality spaces
• Infinitesimal computations in topology
• Formal and coformal spaces
• Obstructions to homotopy equivalences
• On the formality of k-1 connected compact manifolds of dimension less than or equal to 4k-2
• Correction to: ``The algebraic topology of smooth algebraic varieties
• The cellular structure of formal homotopy types
• Rational homotopy theory
• On the deformation of rings and algebras
• Suites inertes dans les algèbres de Lie grasuées. ("Autopsie d'un meurtre II").
• Dénombrement des types de K-homotopie. Théorie de la déformation
• Rational L.-S. Category and Its Applications
• Cohomology and deformations in graded Lie algebras

This page was built for publication: Geometric decompositions, algebraic models and rigidity theorems