2 citations · 2 across the 7 of their papers we have counts for
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Lattice Bruhat intervals are polytopal
Yibo Gao, Tao Gui
For a Bruhat interval in an arbitrary Coxeter group which is a lattice, we give a type-uniform construction of a convex polytope whose complete face lattice realizes $[x,y]…
Equivariant multiplicities and torsion at attractive fixed points
Tao Gui, Peter L. Guo, Zhuowei Lin
Let \(X\) be a rationally smooth complex affine variety with a torus action and an attractive fixed point \(x\). Suppose that \(X\setminus\{x\}\) is \(p\)-smooth and that its integ…
Permutation Representations on Cohomology of Toric Varieties
Tao Gui, Chushi Qin, Kaizhe Shen +1
Let be a finite group acting properly by lattice automorphisms on a complete simplicial fan . An open question due to Stanley asked whether the (ungraded) representation car…
Complete simplicial fans, Stanley--Reisner rings, and equivariant h-polynomials
Tao Gui
We derive a graded character formula for the action of any finite group on the Artinian reduction of the Stanley--Reisner ring of any complete simplicial fan, which is given by an…