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arXiv · 2203.11064

The Rational Homotopy Type of Homotopy Fibrations Over Connected Sums

Sebastian Chenery
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Abstract

We provide a simple condition on rational cohomology for the total space of a pullback fibration over a connected sum to have the rational homotopy type of a connected sum, after looping. This takes inspiration from recent work of Jeffrey and Selick, in which they study pullback fibrations of this type, but under stronger hypotheses compared to our result.

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Sebastian Chenery. 2022-03-21. The Rational Homotopy Type of Homotopy Fibrations Over Connected Sums. https://doi.org/10.1017/s001309152300007x

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