3 papers
math.AT2025
Strong formality of toric and homogeneous compact Kähler manifolds
Giovanni Placini, Jonas Stelzig, Leopold Zoller
All compact Kähler, or even -manifolds, are rationally formal. Not all of them are strongly formal. Yet some of them are: For complete smooth complex toric va…
math.AT2024
Nontrivial Massey products on compact Kähler manifolds
Giovanni Placini, Jonas Stelzig, Leopold Zoller
We show that the bigraded quasi-isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham…
math.DG2022
A ddc-type condition beyond the Kähler realm
Jonas Stelzig, Scott O. Wilson
This paper introduces a generalization of the ddc-condition for complex manifolds. Like the dd^c-condition, it admits a diverse collection of characterizations, and is hereditary u…