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math.CO2016★ 19 cited
Kazhdan-Lusztig polynomials of matroids: a survey of results and conjectures
Katie Gedeon, Nicholas Proudfoot, Benjamin Young
We report on various results, conjectures, and open problems related to Kazhdan-Lusztig polynomials of matroids. We focus on conjectures about the roots of these polynomials, all o…
math.CO2016
Kazhdan-Lusztig polynomials of thagomizer matroids
Katie R. Gedeon
We introduce thagomizer matroids and compute the Kazhdan-Lusztig polynomial of a rank thagomizer matroid by showing that the coefficient of is equal to the number of Dy…
math.CO2016★ 6 cited
The equivariant Kazhdan-Lusztig polynomial of a matroid
Katie Gedeon, Nicholas Proudfoot, Ben Young
We define the equivariant Kazhdan-Lusztig polynomial of a matroid equipped with a group of symmetries, generalizing the nonequivariant case. We compute this invariant for arbitrary…