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arXiv · 2512.02187

Holomorphic linking numbers, ABC Massey products, and Calabi-Yau 3-folds

Lucía Martín-Merchán·Jonas Stelzig
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Abstract

On compact K\"ahler manifolds, we relate ABC Massey products arising from complex analytic cycles to holomorphic linking numbers. This enables us to construct a family of simply connected projective 3-folds with trivial canonical bundle, equipped with a non-vanishing ABC Massey product.

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Lucía Martín-Merchán, Jonas Stelzig. 2025-12-01. Holomorphic linking numbers, ABC Massey products, and Calabi-Yau 3-folds. https://arxiv.org/abs/2512.02187

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