1 citations · 1 across the 2 of their papers we have counts for
4 papers
On vector bundles over hyperkähler twistor spaces
Indranil Biswas, Artour Tomberg
We study the holomorphic vector bundles E over the twistor space Tw(M) of a compact simply connected hyperkähler manifold . We give a characterization of the semistability condi…
Families of stable bundles on the fibres of the hyperkähler twistor projection
Artour Tomberg
Given a holomorphic vector bundle on the twistor space of a simple hyperkähler manifold , we view it as a family of bundles on the fibr…
An example of a stable but fibrewise nonstable bundle on the twistor space of a hyperkähler manifold
Artour Tomberg
We construct an explicit example of a stable bundle on the twistor space of a hyperkähler manifold whose restrictions to all the fibres of the natural twistor…
Twistor spaces of hypercomplex manifolds are balanced
Artour Tomberg
A hypercomplex structure on a differentiable manifold consists of three integrable almost complex structures that satisfy quaternionic relations. If, in addition, there exists a me…