3 papers
math.AG2023
Totally nonnegative part of the Peterson variety in Lie type A
Hiraku Abe, Haozhi Zeng
The Peterson variety (which we denote by ) is a subvariety of the flag variety, introduced by Dale Peterson to describe the quantum cohomology rings of all the partial flag vari…
math.AT2023
Equivariant cohomology ring of open torus manifolds with locally standard actions
Yueshan Xiong, Haozhi Zeng
The notation of torus manifolds were introduced by A. Hattori and M. Masuda. Toric manifolds, quasitoric manifolds, topological toric manifolds, toric origami manifolds and -sym…
math.AT2014
Toric origami structures on quasitoric manifolds
Anton Ayzenberg, Mikiya Masuda, Seonjeong Park +1
We construct quasitoric manifolds of dimension 6 and higher which are not equivariantly homeomorphic to any toric origami manifold. All necessary topological definitions and combin…