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math.AT2023
Formality is preserved under domination
Aleksandar Milivojevic, Jonas Stelzig, Leopold Zoller
If a closed orientable manifold (resp. rational Poincaré duality space) receives a map from a formal manifold (resp. space) that hits a fundamental class, then $X…
math.AG2023
Complex non-Kähler manifolds that are cohomologically close to, or far from, being Kähler
Hisashi Kasuya, Jonas Stelzig
We give four constructions of non- (hence non-Kähler) manifolds: (1) A simply connected page---manifold (2) A simply connected $dd^c+…
math.AT2023
Pluripotential Homotopy Theory
Jonas Stelzig
We build free, bigraded bidifferential algebra models for the forms on a complex manifold, with respect to a strong notion of quasi-isomorphism and compatible with the conjugation…