30 citations · 60 across the 15 of their papers we have counts for
15 papers
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…
Differential forms and invariants of complex manifolds
Jonas Stelzig
A survey of some results and open questions related to the following algebraic invariants of compact complex manifolds, that can be obtained from differential forms: cohomology gro…
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…
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…
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+…
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…