23 citations · 113 across the 19 of their papers we have counts for
20 papers
Equivariant cohomology of odd-dimensional complex quadrics from a combinatorial point of view
Shintaro Kuroki, Bidhan Paul
This paper aims to determine the ring structure of the torus equivariant cohomology of odd-dimensional complex quadrics by computing the graph equivariant cohomology of their corre…
Equivariant cohomology of even-dimensional complex quadrics from a combinatorial point of view
Shintaro Kuroki
The purpose of this paper is to determine the ring structure of the graph equivariant cohomology of the GKM graph induced from the even-dimensional complex quadrics. We show that t…
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…
GKM graph locally modeled by -action on and its graph equivariant cohomology
Shintaro Kuroki, Vikraman Uma
We introduce a class of labeled graphs (with legs) which contains two classes of GKM graphs of -dimensional manifolds with -actions, i.e., GKM graphs of the…
Flag Bott manifolds of general Lie type and their equivariant cohomology rings
Shizuo Kaji, Shintarô Kuroki, Eunjeong Lee +1
In this article we introduce flag Bott manifolds of general Lie type as the total spaces of iterated flag bundles. They generalize the notion of flag Bott manifolds and generalized…
Torus orbifolds with two fixed points
Alastair Darby, Shintaro Kuroki, Jongbaek Song
The main objects of this paper are torus orbifolds that have exactly two fixed points. We study the equivariant topological type of these orbifolds and consider when we can use the…