Giovanni Bazzoni

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20242026

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math.DG2026

Purely coclosed $G_{2}$ -structures on nilmanifolds -- II

Giovanni Bazzoni, Giorgia Petracci

This paper completes the classification of seven-dimensional nilpotent Lie groups endowed with a left-invariant purely coclosed $G_{2}$ -structure, initiated by the first-named…

math.DG2025

Complex symplectic structures: deformations and cohomology

Giovanni Bazzoni, Marco Freibert, Adela Latorre +1

We show that complex symplectic structures need not be preserved under small deformations, and we find sufficient conditions for this to happen. We study various cohomologies of co…

math.DG2024

Moduli spaces of (co)closed $G_{2}$ -structures on nilmanifolds

Giovanni Bazzoni, Alejandro Gil-GarcÃa

We compute the dimensions of some moduli spaces of left-invariant closed and coclosed $G_{2}$ -structures on 7-dimensional nilmanifolds, showing that they are not related to…

Purely coclosed G2​-structures on nilmanifolds -- II

Complex symplectic structures: deformations and cohomology

Moduli spaces of (co)closed G2​-structures on nilmanifolds

Purely coclosed $G_{2}$ -structures on nilmanifolds -- II

Moduli spaces of (co)closed $G_{2}$ -structures on nilmanifolds