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arXiv · 2211.17173

Non-principal T-duality, generalized complex geometry and blow-ups

Gil R. Cavalcanti·Aldo Witte
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Abstract

We extend the notion of T-duality to manifolds endowed with non-principal torus actions. The singularities of the torus action are controlled by a certain Lie algebroid, called the elliptic tangent bundle. Using this Lie algebroid, we explain how certain invariant generalized complex structures can be transported via T-duality. Along the way, we use the elliptic tangent bundle to define connections for these torus action, and give new insight to the classification of such actions by Haefliger-Salem.

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Gil R. Cavalcanti, Aldo Witte. 2022-11-30. Non-principal T-duality, generalized complex geometry and blow-ups. https://arxiv.org/abs/2211.17173

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