18 citations · 67 across the 18 of their papers we have counts for
20 papers
Special Matchings, Brenti's Conjecture, and the Combinatorial Invariance Conjecture
Fabrizio Caselli, Mario Marietti
In this work, we settle a problem that dates back to the early 2000s. We provide a complete characterization of special matchings of arbitrary Bruhat intervals in Coxeter groups of…
Grapes and Alexander duality
Mario Marietti
In this paper, we prove that the property of being a grape (in any of its variants) is invariant under Alexander duality. The explicitly determined (simple-)homotopy type of a grap…
Flip Combinatorial Invariance and Weyl groups
Francesco Esposito, Mario Marietti, Salvatore Stella
In this work, we investigate the approach via flipclasses to the Combinatorial Invariance Conjecture for Kazhdan--Lusztig polynomials of all Coxeter groups. We prove the combinator…
A note on Combinatorial Invariance of Kazhdan--Lusztig polynomials
Francesco Esposito, Mario Marietti, Grant T. Barkley +1
We introduce the concepts of an amazing hypercube decomposition and a double shortcut for it, and use these new ideas to formulate a conjecture implying the Combinatorial Invarianc…
Flipclasses and Combinatorial Invariance for Kazhdan--Lusztig polynomials
Francesco Esposito, Mario Marietti
In this work, we investigate a novel approach to the Combinatorial Invariance Conjecture of Kazhdan--Lusztig polynomials for the symmetric group. Using the new concept of flipclass…
Bruhat intervals and parabolic cosets in arbitrary Coxeter groups
Mario Marietti
In [Journal of Pure and Applied Algebra {224} (2020), no 12, 106449], V. Mazorchuk and R. Mrđen (with some help by A. Hultman) prove that, given a Weyl group, the intersection of a…