3 citations · 6 across the 17 of their papers we have counts for
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Borel-Hirzebruch type formula for the graph equivariant cohomology of a projective bundle over a GKM-graph
Shintaro Kuroki, Grigory Solomadin
In this paper, we introduce the GKM theoretical counterpart of the equivariant complex vector bundles as the "leg bundle". We also provide a definition for the projectivization of…
On independent GKM-graphs without nontrivial extensions
Grigory Solomadin
In this paper an example of a -independent -type GKM-graph without nontrivial extensions is constructed for any . It is shown that this example cannot be r…
How is a graph not like a manifold?
Anton Ayzenberg, Mikiya Masuda, Grigory Solomadin
For an equivariantly formal action of a compact torus on a smooth manifold with isolated fixed points we investigate the global homological properties of the graded poset $…
On the homotopy decomposition for the quotient of a moment-angle complex and its applications
Ivan Limonchenko, Grigory Solomadin
In this paper we prove that the quotient of any real or complex moment-angle complex by any closed subgroup in the naturally acting compact torus on it is equivariantly homotopy eq…