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20222026
most citedEquivariant log-concavity and equivariant Kähler packages

2 citations · 2 across the 7 of their papers we have counts for

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math.CO2026

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]…

math.CO2026

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…

math.CO2023

Asymptotic Log-concavity of Dominant Lower Bruhat Intervals via Brunn--Minkowski Inequality

Gaston Burrull, Tao Gui, Hongsheng Hu

Björner and Ekedahl [Ann. of Math. (2), 170.2(2009), pp. 799--817] pioneered the study of length-counting sequences associated with parabolic lower Bruhat intervals in crystallogra…