The rational homotopy type of homotopy fibrations over connected sums

Chenery, Sebastian David (2023) The rational homotopy type of homotopy fibrations over connected sums. Proceedings of the Edinburgh Mathematical Society, 66 (1), 133-142. (doi:10.1017/S001309152300007X).

Record type: Article

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 a 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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Fibrations_Over_Connected_Sums_v2_2 - Accepted Manuscript

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Accepted/In Press date: 26 January 2023

Published date: 3 April 2023

Additional Information: Publisher Copyright: © The Author(s), 2023. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

Keywords: Poincaré duality, connected sums, fibration, loop spaces, rational homotopy theory

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