Kazhdan-Lusztig polynomials of matroids: a survey of results and conjectures
نویسندگان
چکیده
We report on various results, conjectures, and open problems related to KazhdanLusztig polynomials of matroids. We focus on conjectures about the roots of these polynomials, all of which appear here for the first time.
منابع مشابه
A Flag Whitney Number Formula for Matroid Kazhdan-Lusztig Polynomials
For a representation of a matroid the combinatorially defined Kazhdan-Lusztig polynomial computes the intersection cohomology of the associated reciprocal plane. However, these polynomials are difficult to compute and there are numerous open conjectures about their structure. For example, it is unknown whether or not the coefficients are non-negative for non-representable matroids. The main res...
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