Tao Gong

collaborators

4 papers

math.GT2026

On Sections of Quotient maps by Isometries

Suyoung Choi, Tao Gong

Suppose that a discrete group $G$ acts smoothly, properly, and effectively on a connected smooth manifold $M$ , and let $q : M \to M / G$ be the quotient map. We prove that if $q$ admits…

math.AT2026

On invariants of representations of Weyl groups associated with the cohomology of toric varieties

Tao Gong

For a Weyl group $W$ and a $W$ -permutohedron $P$ , there are associated toric varieties $X_{P}$ and $X_{P / W_{K}}$ for any parabolic subgroup $W_{K}$ of $W$ , since the quotient $P / W_{K}$ can…

math.CO2024

Toric varieties modulo reflections

Colin Crowley, Tao Gong, Connor Simpson

Let $W$ be a finite group generated by reflections of a lattice $M$ . If a lattice polytope $P \subset M \otimes_{Z} R$ is preserved by $W$ , then we show that the quo…

math.AT2024

Homotopy Types Of Toric Orbifolds From Weyl Polytopes

Tao Gong

Given a reduced crystallographic root system with a fixed simple system, it is associated to a Weyl group $W$ , parabolic subgroups $W_{K}$ 's and a polytope $P$ which is the convex hu…