Sullivan-Quillen mixed type model for fibrations and the Haefliger model for the Gelfand-Fuks cohomology. (English) Zbl 0547.55008

Shibata, Katsuyuki

Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113-114, 291-297 (1984).

Summary: [For the entire collection see Zbl 0535.00017.]
A graded Lie algebra of certain type over a differential graded algebra can be used as an algebraic model for a fibration, so that the model for the space of sections can be well-described. An application to the Gelfand-Fuks cohomology is stated.

MSC:

55P62	Rational homotopy theory
57R32	Classifying spaces for foliations; Gelfand-Fuks cohomology
55R05	Fiber spaces in algebraic topology

Keywords:

Sullivan-Quillen mixed type model for fibrations; Haefliger model; fibrations without cross section; Euler element in mixed type model; graded Lie algebra; model for the space of sections; Gelfand-Fuks cohomology

Citations:

Zbl 0535.00017