The cd-index of fans and posets
By Kalle Karu. Compositio Mathematica, 2006
68 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/a9e742216ccc7c22633263e2025e41cbef5bb8c0
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In Algebra and Number Theory
- Christos A. Athanasiadis
- Ed Swartz
- Francesco Brenti
- Louis J. Billera
- Masahiko Yoshinaga
- Drew Armstrong
- Isabella Novik
- Victor Reiner
In Discrete Mathematics and Combinatorics
- Christos A. Athanasiadis
- Ed Swartz
- Francesco Brenti
- Louis J. Billera
- Drew Armstrong
- Masahiko Yoshinaga
- Nathan Reading
- Isabella Novik
Citations in the corpus
- Quasisymmetric functions and Kazhdan-Lusztig polynomials (2007, background): “Since every Bruhat interval is shellable (e.g., [7, Theorem 2.7.5]) and Eulerian, hence Gorenstein∗, it follows from the recent work of Karu [26] (see also [22]) that [w]u,v ≥ 0 whenever degw = l(u, v) − 1 (the top degree for which [w]u,v 6= 0).”
- Gamma-positivity in combinatorics and geometry (2017, background): “Stanley on the nonnegativity of the cd-index of Gorenstein* posets [70] (for introductions to the cd-index, see [120, Section III.”
- FACE ENUMERATION - FROM SPHERES TO MANIFOLDS (2007, background): “In view of Karu’s proof that the cd-index of any Gorenstein* poset has nonnegative coefficients [18], and the fact that the flag f -vectors of semi-Eulerian posets with the same Euler characteristic and dimension lie in the same affine subspace of flag f -vectors, it seems natural to ask the followi”