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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…
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…