6 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…
On torus equivariant -bundles over and Petrie-type questions for GKM manifolds
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
We classify -GKM fibrations in which both fiber and base are the GKM graph of , with standard weights in the base. For each case in which the total space is orientable, w…
On GKM fiber bundles and realizability with full flag fibers
Oliver Goertsches, Panagiotis Konstantis, Nikolas Wardenski +1
We investigate under which conditions an equivariant fiber bundle whose base, total space and fiber are GKM manifolds induces a fibration or fiber bundle of the corresponding GKM g…
On integral Chang-Skjelbred computations with disconnected isotropy groups
Leopold Zoller
The Chang-Skjelbred method computes the cohomology of a suitable space with a torus action from its equivariant one-skeleton. We show that, under certain restrictions on the cohomo…
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…