Geodesic
On cyclic Descents for Tableaux
Séminaire lotharingien de combinatoire, 80B (2018) Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

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The notion of descent set, for permutations as well as for standard Young tableaux (SYT), is classical. Cellini introduced a natural notion of cyclic descent set for permutations, and Rhoades introduced such a notion for SYT - but only for rectangular shapes. In this work we define cyclic extensions of descent sets in a general context, and prove existence and essential uniqueness for SYT of almost all shapes. The proof applies nonnegativity properties of Postnikov's toric Schur polynomials, providing a new interpretation of certain Gromov-Witten invariants. 

@article{SLC_2018_80B_a59,
     author = {Ron M. Adin and Victor Reiner, and Yuval Roichman},
     title = {On cyclic {Descents} for {Tableaux}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2018},
     volume = {80B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a59/}
}
TY  - JOUR
AU  - Ron M. Adin
AU  - Victor Reiner,
AU  - Yuval Roichman
TI  - On cyclic Descents for Tableaux
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a59/
ID  - SLC_2018_80B_a59
ER  - 
%0 Journal Article
%A Ron M. Adin
%A Victor Reiner,
%A Yuval Roichman
%T On cyclic Descents for Tableaux
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a59/
%F SLC_2018_80B_a59
Ron M. Adin; Victor Reiner,; Yuval Roichman. On cyclic Descents for Tableaux. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a59/