Showing math.ATShow all
3 papers · 1 filter
math.AT2026
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…
math.AT2025
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…
math.AT2024
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…