2 papers
math.DG2026
Dolbeault formality for complex nilmanifolds
Tommaso Sferruzza, Misha Verbitsky
A quasi-isomorphism of differential graded algebras (DGA) is a multiplicative map inducing an isomorphism on cohomology. A DGA is called formal if it can be connected by a chain of…
math.DG2025
Hermitian geometrically formal manifolds
Tommaso Sferruzza, Adriano Tomassini
We study Hermitian geometrically formal metrics on compact complex manifolds, focusing on Dolbeault, Bott-Chern, and Aeppli cohomologies. We establish topological and cohomological…