61 citations · 431 across the 48 of their papers we have counts for
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math.DG2019★ 1 cited
Dolbeault cohomology of complex manifolds with torus action
Roman Krutowski, Taras Panov
We describe the basic Dolbealut cohomology algebra of the canonical foliation on a class of complex manifolds with a torus symmetry group. This class includes complex moment-angle…
math.DG2018★ 3 cited
Basic cohomology of canonical holomorphic foliations on complex moment-angle manifolds
Hiroaki Ishida, Roman Krutowski, Taras Panov
We describe the basic cohomology ring of the canonical holomorphic foliation on a moment-angle manifold, LVMB-manifold or any complex manifold with a maximal holomorphic torus acti…
math.DG2013★ 5 cited
Hamiltonian minimal Lagrangian submanifolds in toric varieties
Andrey Mironov, Taras Panov
Hamiltonian minimality (H-minimality) for Lagrangian submanifolds is a symplectic analogue of Riemannian minimality. A Lagrangian submanifold is called H-minimal if the variations…