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math.CO2026
Dual Lattice Functions of Polytopes
Yibo Gao, Thomas Lam, Lei Xue
We define the dual lattice function of a rational polytope via the discrete Laplace transform of the exponential of its support function. This definition is a discrete analogue…
math.CO2026
Combinatorial invariance for the coefficient of in Kazhdan-Lusztig polynomials
Grant T. Barkley, Christian Gaetz, Thomas Lam
We prove the combinatorial invariance of the coefficient of in Kazhdan--Lusztig polynomials for arbitrary Coxeter groups. As a result, we obtain the Combinatorial Invariance Co…