Combinatorial invariance for the coefficient of $q$ in Kazhdan-Lusztig polynomials

arXiv:2601.07793v2 Announce Type: replace Abstract: We prove the combinatorial invariance of the coefficient of $q$ in Kazhdan--Lusztig polynomials for arbitrary Coxeter groups. As a result, we obtain the Combinatorial Invariance Conjecture, of Lusztig and of Dyer, also for Br...

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