161 citations · 898 across the 143 of their papers we have counts for
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Calibrations in hyperkahler geometry
Gueo Grantcharov, Misha Verbitsky
We describe a family of calibrations arising naturally on a hyperkähler manifold . These calibrations calibrate the holomorphic Lagrangian, holomorphic isotropic and holomorphic…
Oeljeklaus-Toma manifolds admitting no complex subvarieties
Liviu Ornea, Misha Verbitsky
The Oeljeklaus-Toma (OT-) manifolds are complex manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces . On each OT-manif…
Any component of moduli of polarized hyperkaehler manifolds is dense in its deformation space
Sasha Anan'in, Misha Verbitsky
Let M be a compact hyperkaehler manifold, and W the coarse moduli of complex deformations of M. Every positive integer class v in defines a divisor in W consisting o…
Moduli spaces of framed instanton bundles on CP^3 and twistor sections of moduli spaces of instantons on C^2
Marcos Jardim, Misha Verbitsky
We show that the moduli space of holomorphic vector bundles on that are trivial along a line is isomorphic (as a complex manifold) to a subvariety in the moduli of ratio…
Locally conformally Kahler manifolds admitting a holomorphic conformal flow
Liviu Ornea, Misha Verbitsky
A manifold is locally conformally Kahler (LCK) if it admits a Kahler covering with monodromy acting by holomorphic homotheties. Let be an LCK manifold admitting a holomorph…
A formally Kahler structure on a knot space of a G2-manifold
Misha Verbitsky
A knot space in a manifold M is a space of oriented immersions from a circle S^1 to M up to Diff(S^1). Brylinski has shown that a knot space of a Riemannian threefold is formally K…