In-Jee Jeong (1) (2) , Gregg Musiker (3) , Sicong Zhang (4)
(1) Department of Mathematics
(2) Department of Mathematics [Providence]
(3) School of Mathematics
(4) Department of Mathematics [New York]
Gale-Robinson Sequences and Brane Tilings In-Jee Jeong (1) (2) , Gregg Musiker (3) , Sicong Zhang (4)
(1) Department of Mathematics
(2) Department of Mathematics [Providence]
(3) School of Mathematics
(4) Department of Mathematics [New York]
We study variants of Gale-Robinson sequences, as motivated by cluster algebras with principal coefficients. For such cases, we give combinatorial interpretations of cluster variables using brane tilings, as from the physics literature.
[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] cluster algebras principal coefficients F-polynomials Aztec diamonds Gale-Robinson recurrence perfect matchings brane tilings Seiberg dualities Source: OpenCitations
Conserved Quantities of Q-systems from Dimer Integrable Systems
The Electronic Journal of Combinatorics
Authors : Panupong Vichitkunakorn
Journal reference : Volume 25, 2018, pp.
DOI : 10.37236/6994 Y-meshes and generalized pentagram maps
arXiv (Cornell University)
Authors : Max Glick , Pavlo Pylyavskyy
Journal reference : Volume 112, 2016, pp. 753-797
DOI : 10.1112/plms/pdw007 T-Systems, Networks and Dimers
arXiv (Cornell University)
Authors : Philippe Di Francesco
Journal reference : Volume 331, 2014, pp. 1237-1270
DOI : 10.1007/s00220-014-2062-5 Dungeons and Dragons: Combinatorics for the $$\varvec{dP_3}$$ Quiver
Annals of Combinatorics
Authors : Tri Lai , Gregg Musiker
Journal reference : Volume 24, 2020, pp. 257-309
DOI : 10.1007/s00026-019-00487-y 
