3 citations · 4 across the 4 of their papers we have counts for
5 papers
On the strong Arnold conjecture for Grassmannians
Kenneth Blakey, Roman Krutowski
On several families of flag varieties, we provide examples of degenerate Hamiltonian diffeomorphisms exhibiting significantly smaller numbers of fixed points than predicted by the…
Combinatorial proof of Maslov index formula in Heegaard Floer Theory
Roman Krutowski
We prove Lipshitz's Maslov index formula in Heegaard Floer homology via the combinatorics of Heegaard diagrams.
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…
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…
The tie theorems
Roman Krutowski
Theorem. There are general position points A, B, C, P on the projective plane. Let A_P be the intersection point of lines AP and BC. Analogously define B_P and C_P. Take any points…