Kazhdan-Lusztig polynomials of matroids under deletion

被引：0
|
作者：
Braden, Tom [1 ]
Vysogorets, Artem [2 ]
机构：
[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA
[2] NYU, Ctr Data Sci, New York, NY USA
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2020年 / 27卷 / 01期
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a formula which relates the Kazhdan-Lusztig polynomial of a matroid M, as defined by Elias, Proudfoot and Wakefield, to the Kazhdan-Lusztig polynomials of the matroid obtained by deleting an element, and various contractions and localizations of M. We give a number of applications of our formula to Kazhdan-Lusztig polynomials of graphic matroids, including a simple formula for the Kazhdan-Lusztig polynomial of a parallel connection graph.
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页数：17
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