Rational models for automorphisms of fiber bundles

2017/03/10 by Alexander Berglund, Berglund, Alexander
Mathematics · #55P62 (Primary) #55R10 (Secondary) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1703.03747

openalex publication_date 2017/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a fiber bundle, we construct a differential graded Lie algebra model for the classifying space of the monoid of homotopy equivalences of the base covered by a fiberwise isomorphism of the total space.

Related

• Rational Homotopy Type of the Classifying Space for Fibrewise Self-Equivalences
• Lie models of homotopy automorphism monoids and classifying fibrations
• Rational homotopy theory of automorphisms of manifolds
• The rational homotopy type of the space of self-equivalences of a fibration
• A dg Lie model for relative homotopy automorphisms