3 citations · 3 across the 6 of their papers we have counts for
8 papers · 1 filter
Non-commutative Barge-Ghys quasimorphisms: an erratum
Michael Brandenbursky, Misha Verbitsky
This is an erratum to the paper ``Non-commutative Barge-Ghys quasimorphisms''. The effective version of Ambrose-Singer theorem used in this paper was mis-stated, making Theorem 3.1…
Locally Conformally Kähler Manifolds of Algebraic Codimension One
Liviu Ornea, Misha Verbitsky, Victor Vuletescu
A locally conformally Kähler (LCK) manifold is a manifold which admits a Kähler structure on its universal cover , in such a way that the monodromy acts conformally…
Dolbeault formality for complex nilmanifolds
Tommaso Sferruzza, Misha Verbitsky
A quasi-isomorphism of differential graded algebras (DGA) is a multiplicative map inducing an isomorphism on cohomology. A DGA is called formal if it can be connected by a chain of…
On the structure of compact strong HKT manifolds
Beatrice Brienza, Anna Fino, Gueo Grantcharov +1
We study the geometry of compact strong HKT and, more generally, compact BHE manifolds. We prove that any compact BHE manifold with full holonomy must be Kähler and we establish a…
Exotic hypercomplex structures on a torus do not exist
Alberto Pipitone Federico, Misha Verbitsky
A hypercomplex manifold is a manifold with three complex structures satisfying quaternionic relations. Such a manifold admits a unique torsion-free connection preserving the quater…
Special Hermitian structures on suspensions
Anna Fino, Gueo Grantcharov, Misha Verbitsky
Motivated by the construction based on topological suspension of a family of compact non-Kähler complex manifolds with trivial canonical bundle given by L. Qin and B. Wang in [QW]…