Rational Models for Automorphisms of Fiber Bundles

  • Alexander Berglund

    Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden
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Abstract

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.

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Alexander Berglund, Rational Models for Automorphisms of Fiber Bundles. Doc. Math. 25 (2020), pp. 239–265

DOI 10.4171/DM/746