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arXiv · 2305.11075

Generalized Kähler manifolds via mapping tori

Beatrice Brienza·Anna Fino
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Abstract

Starting from the product of a $3$-torus and a compact Kähler (respectively, hyperKähler) manifold we construct via mapping tori generalized Kähler manifolds of split (respectively, non-split) type. In this way we obtain new non-Kähler examples and we recover the known examples of generalized Kähler solvmanifolds. Moreover, we investigate the formality and the Dolbeault cohomology of the generalized Kähler mapping tori.

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Beatrice Brienza, Anna Fino. 2024-06-11. Generalized Kähler manifolds via mapping tori. https://arxiv.org/abs/2305.11075

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