Explicit formulas and generating functions are obtained for inverse Kazhdan-Lusztig and inverse Z-polynomials of fan matroids, with coefficients proven log-concave and internally zero-free.
StressedhyperplanesandKazhdan–Lusztiggamma- positivity for matroids.International Mathematics Research Notices, 2023, 2023(24): 20883-20942
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Inverse Kazhdan--Lusztig polynomials of fan matroids
Explicit formulas and generating functions are obtained for inverse Kazhdan-Lusztig and inverse Z-polynomials of fan matroids, with coefficients proven log-concave and internally zero-free.