Massey products, sphere bundles and T-duality

Gil R. Cavalcanti

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arXiv · 2606.12004

Massey products, sphere bundles and T-duality

Gil R. Cavalcanti

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Abstract

We study spherical T-duality for iterated sphere bundles. We show that for a class of iterated sphere bundles the cohomological data contained in its Gysin sequences can be repackaged into data for a vanishing Massey product. We further show that if these bundles are endowed with an integral cohomology class of transgressive degree one, then they have a T-dual iterated sphere bundle, namely, the one associated to the same Massey product read backwards.

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Gil R. Cavalcanti. 2026-06-10. Massey products, sphere bundles and T-duality. https://arxiv.org/abs/2606.12004

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