Gale-Robinson Sequences and Brane Tilings
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) (2013)
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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.
@article{DMTCS_2013_special_264_a20,
author = {Jeong, In-Jee and Musiker, Gregg and Zhang, Sicong},
title = {Gale-Robinson {Sequences} and {Brane} {Tilings}},
journal = {Discrete mathematics & theoretical computer science},
year = {2013},
volume = {DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)},
doi = {10.46298/dmtcs.2336},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2336/}
}
TY - JOUR AU - Jeong, In-Jee AU - Musiker, Gregg AU - Zhang, Sicong TI - Gale-Robinson Sequences and Brane Tilings JO - Discrete mathematics & theoretical computer science PY - 2013 VL - DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) UR - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2336/ DO - 10.46298/dmtcs.2336 LA - en ID - DMTCS_2013_special_264_a20 ER -
%0 Journal Article %A Jeong, In-Jee %A Musiker, Gregg %A Zhang, Sicong %T Gale-Robinson Sequences and Brane Tilings %J Discrete mathematics & theoretical computer science %D 2013 %V DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) %U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2336/ %R 10.46298/dmtcs.2336 %G en %F DMTCS_2013_special_264_a20
Jeong, In-Jee; Musiker, Gregg; Zhang, Sicong. Gale-Robinson Sequences and Brane Tilings. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) (2013). doi: 10.46298/dmtcs.2336
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