Rational homotopy theory and geometric structures on smooth manifolds
From MaRDI portal
Publication:1333412
DOI10.1016/0034-4877(94)90013-2zbMath0830.55006OpenAlexW2059485114MaRDI QIDQ1333412
Publication date: 5 February 1996
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0034-4877(94)90013-2
rational homotopy theoryformalityMassey productsminimal modelsPostnikov towerformality and geometric structuresrational homotopy theory of homogeneous spaces
Rational homotopy theory (55P62) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Homotopy groups of topological groups and homogeneous spaces (57T20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homotopie rationelle: modèles de Chen, Quillen, Sullivan
- Compact symplectic manifolds with free circle actions, and Massey products
- The moment map for circle actions on symplectic manifolds
- Examples of simply-connected symplectic non-Kählerian manifolds
- The Lie algebra structure of tangent cohomology and deformation theory
- A model for cyclic homology and algebraic K-theory of 1-connected topological spaces
- Symplectic geometry and secondary characteristic classes
- Fat bundles and symplectic manifolds
- The topology of torus actions on symplectic manifolds. Transl. from the French by the author
- Real homotopy theory of Kähler manifolds
- The homology theory of the closed geodesic problem
- Infinitesimal computations in topology
- Invariants of finite reflection groups
- Rational homotopy type. A constructive study via the theory of the \(I^ *\)-measure
- Rational homotopy theory
- The Frölicher spectral sequence for compact nilmanifolds
- Les sous-groupes fermes de rang maximum des groupes de Lie clos
- Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
- Lectures on minimal models
- On 𝑃𝐿 de Rham theory and rational homotopy type
- Métriques Kählériennes Affinement Plates De Certaines Variétés Symplectiques I
- Kählerian Coset Spaces of Semisimple Lie Groups
- Symplectic manifolds with no Kähler structure
- Rational homotopy theory and differential forms
- Symplectic twistor spaces