161 citations · 898 across the 143 of their papers we have counts for
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Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds
Liviu Ornea, Misha Verbitsky
Sasakian manifolds are odd-dimensional counterpart to Kahler manifolds. They can be defined as contact manifolds equipped with an invariant Kahler structure on their symplectic con…
Deformations and BBF form on non-Kahler holomorphically symplectic manifolds
Nikon Kurnosov, Misha Verbitsky
In 1995, Dan Guan constructed examples of non-Kahler, simply-connected holomorphically symplectic manifolds. An alternative construction, using the Hilbert scheme of Kodaira-Thurst…
Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum
Misha Verbitsky
A mapping class group of an oriented manifold is a quotient of its diffeomorphism group by the isotopies. In the published version of "Mapping class group and a global Torelli theo…
MBM classes and contraction loci on low-dimensional hyperkahler manifolds of K3 type
Ekaterina Amerik, Misha Verbitsky
An MBM locus on a hyperkahler manifold is the union of all deformations of a minimal rational curve with negative self-intersection. MBM loci can be equivalently defined as centers…
Twisted Dolbeault cohomology of nilpotent Lie algebras
Liviu Ornea, Misha Verbitsky
It is well known that cohomology of any non-trivial 1-dimensional local system on a nilmanifold vanishes (this result is due to L. Alaniya). A complex nilmanifold is a quotient of…
Contraction centers in families of hyperkahler manifolds
Ekaterina Amerik, Misha Verbitsky
We study the exceptional loci of birational (bimeromorphic) contractions of a hyperkähler manifold . Such a contraction locus is the union of all minimal rational curves in a co…