Geodesic
Dimers, Crystals and Quantum Kostka Numbers
Séminaire lotharingien de combinatoire, 78B (2017) Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

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We relate the counting of honeycomb dimer configurations on the cylinder to the counting of certain vertices in Kirillov-Reshetikhin crystal graphs. We show that these dimer configurations yield the quantum Kostka numbers of the small quantum cohomology ring of the Grassmannian, i.e., the expansion coefficients when multiplying a Schubert class repeatedly with different Chern classes. This allows one to derive sum rules for Gromov-Witten invariants in terms of dimer configurations. 

@article{SLC_2017_78B_a39,
     author = {Christian Korff},
     title = {Dimers, {Crystals} and {Quantum} {Kostka} {Numbers}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2017},
     volume = {78B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a39/}
}
TY  - JOUR
AU  - Christian Korff
TI  - Dimers, Crystals and Quantum Kostka Numbers
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a39/
ID  - SLC_2017_78B_a39
ER  - 
%0 Journal Article
%A Christian Korff
%T Dimers, Crystals and Quantum Kostka Numbers
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a39/
%F SLC_2017_78B_a39
Christian Korff. Dimers, Crystals and Quantum Kostka Numbers. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a39/