Rational homotopy of gauge groups
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Publication:3623367
DOI10.1090/S0002-9939-08-09721-9zbMath1168.55010OpenAlexW2080904283MaRDI QIDQ3623367
Publication date: 17 April 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09721-9
Equivariant algebraic topology of manifolds (57R91) Homotopy theory (55P99) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)
Related Items (7)
Homotopy of gauge groups over non-simply-connected five-dimensional manifolds ⋮ Variations of rational higher tangential structures ⋮ The odd primary homology of \(SU(n), Sp(n)\) and \(Spin(n)\)-gauge groups ⋮ Fiber-homotopy self-equivalences and a classification of fibrations in rational homotopy ⋮ Odd primary homotopy decompositions of gauge groups ⋮ CONTINUOUS TRACE C*-ALGEBRAS, GAUGE GROUPS AND RATIONALIZATION ⋮ Rational homotopy type of the classifying space for fibrewise self-equivalences
Cites Work
- Homotopie rationelle: modèles de Chen, Quillen, Sullivan
- Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences
- Sur l'homotopie rationnelle des espaces fonctionnels
- Infinitesimal computations in topology
- Some remarks on the Gribov ambiguity
- André--Quillen cohomology and rational homotopy of function spaces
- Basic constructions in rational homotopy theory of function spaces
- The Samelson product and rational homotopy for gauge groups
- H-Spaces of Self-Equivalences of Fibrations and Bundles
- A note on the homotopy type of certain gauge groups
- Banach algebras and rational homotopy theory
- The rational topology of gauge groups and of spaces of connections
- Applications of Bundle Map Theory
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