Geodesic
Rational Models for Automorphisms of Fiber Bundles
Documenta mathematica, Tome 25 (2020), pp. 239-265
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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.
DOI : 10.4171/dm/746
Classification : 55P62, 55R10
Mots-clés : classifying space, fiber bundle, rationalization, dg Lie algebra, dg coalgebra 
@article{10_4171_dm_746,
     author = {Alexander Berglund},
     title = {Rational {Models} for {Automorphisms} of {Fiber} {Bundles}},
     journal = {Documenta mathematica},
     pages = {239--265},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/746},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/746/}
}
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Alexander Berglund. Rational Models for Automorphisms of Fiber Bundles. Documenta mathematica, Tome 25 (2020), pp. 239-265. doi: 10.4171/dm/746

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