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arXiv · 2202.08617

Bigraded notions of formality and Aeppli-Bott-Chern-Massey products

Aleksandar Milivojevic·Jonas Stelzig
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Abstract

We introduce and study notions of bigraded formality for the algebra of forms on a complex manifold, along with their relation to higher Aeppli-Bott-Chern-Massey products which extend the case of triple products studied by Angella-Tomassini. We show that these Aeppli-Bott-Chern-Massey products on complex manifolds pull back non-trivially to the blow-up along a complex submanifold, as long their degree is less than the real codimension of the submanifold.

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Aleksandar Milivojevic, Jonas Stelzig. 2022-02-17. Bigraded notions of formality and Aeppli-Bott-Chern-Massey products. https://arxiv.org/abs/2202.08617

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