Geodesic
Rational Models for Automorphisms of Fiber Bundles
Documenta mathematica, Tome 25 (2020), pp. 239-265.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Given a fiber bundle, we construct a differential graded Lie algebra model, in the sense of Quillen's rational homotopy theory, for the classifying space of the monoid of homotopy equivalences of the base covered by a fiberwise isomorphism of the total space.
Classification : 55P62, 55R10
Keywords: fiber bundle, classifying space, rationalization, dg Lie algebra, dg coalgebra 
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     author = {Berglund, Alexander},
     title = {Rational {Models} for {Automorphisms} of {Fiber} {Bundles}},
     journal = {Documenta mathematica},
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     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a61/}
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Berglund, Alexander. Rational Models for Automorphisms of Fiber Bundles. Documenta mathematica, Tome 25 (2020), pp. 239-265. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a61/