## Rational Models for Automorphisms of Fiber Bundles

##### Doc. Math. 25, 239-265 (2020)
DOI: 10.25537/dm.2020v25.239-265

### Summary

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.

55P62, 55R10

### Keywords/Phrases

fiber bundle, classifying space, rationalization, dg Lie algebra, dg coalgebra

### References

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### Affiliation

Berglund, Alexander
Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden