Geodesic
Kazhdan-Lusztig polynomials of matroids under deletion
The electronic journal of combinatorics, Tome 27 (2020) no. 1
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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.
DOI : 10.37236/9026
Classification : 05E10, 05B35, 52B40, 05C31
Mots-clés : graphic matroids, Orlik-Terao algebra, intersection cohomology, Kazhdan-Lusztig theory 
@article{10_37236_9026,
     author = {Tom Braden and Artem Vysogorets},
     title = {Kazhdan-Lusztig polynomials of matroids under deletion},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {1},
     doi = {10.37236/9026},
     zbl = {1431.05150},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/9026/}
}
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Tom Braden; Artem Vysogorets. Kazhdan-Lusztig polynomials of matroids under deletion. The electronic journal of combinatorics, Tome 27 (2020) no. 1. doi: 10.37236/9026

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