107 citations · 188 across the 32 of their papers we have counts for
13 papers · 1 filter
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…
Representing a point and the diagonal as zero loci in flag manifolds
Shizuo Kaji
The zero locus of a generic section of a vector bundle over a manifold defines a submanifold. A classical problem in geometry asks to realise a specified submanifold in this way. W…
Suspension splittings and self-maps of flag manifolds
Shizuo Kaji, Stephen Theriault
If is a compact connected Lie group and is a maximal torus, we give a wedge decomposition of by identifying families of idempotents in cohomology. This is used to gi…
The cohomology groups of real toric varieties associated to Weyl chambers of type and
Suyoung Choi, Shizuo Kaji, Hanchul Park
Given a root system, the Weyl chambers in the co-weight lattice give rise to a real toric variety, called the real toric variety associated to the Weyl chambers. We compute the int…
Geometric representations of finite groups on real toric spaces
Soojin Cho, Suyoung Choi, Shizuo Kaji
We develop a framework to construct geometric representations of finite groups through the correspondence between real toric spaces and simplicial complexes wit…
Products in Equivariant Homology
Shizuo Kaji, Haggai Tene
We refine the intersection product in homology to an equivariant setting, which unifies several known constructions. As an application, we give a common generalisation of the Chas-…