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.
From: Gil R. Cavalcanti [view email]
[v1]
Wed, 10 Jun 2026 12:27:22 UTC (31 KB)
[v2]
Tue, 30 Jun 2026 12:22:25 UTC (35 KB)
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