4 papers · 1 filter
Poincaré dualization and Massey products
Aleksandar Milivojevic, Jonas Stelzig, Leopold Zoller
We study the rational homotopy theoretic and geometric properties of a construction which extends any cohomologically connected, finite type cdga to one satisfying cohomological Po…
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 v…
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…
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…