Aztec castles and the dP3 quiver

DOI10.1088/1751-8113/47/47/474011zbMath1408.13057arXiv1308.3926OpenAlexW2963660036MaRDI QIDQ2936568

Gregg Musiker, Paxton Turner, Seth Neel, Megan Leoni

Publication date: 17 December 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3926

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Representations of quivers and partially ordered sets (16G20) Symmetric groups (20B30) Factorization; primality (11A51) Cluster algebras (13F60)

Related Items (16)

Tiling enumeration of hexagons with off-central holes ⋮ A \(q\)-enumeration of lozenge tilings of a hexagon with four adjacent triangles removed from the boundary ⋮ Proof of a conjecture of Kenyon and Wilson on semicontiguous minors ⋮ Brane brick models, toric Calabi-Yau 4-folds and 2d \((0,2)\) quivers ⋮ A \(q\)-enumeration of lozenge tilings of a hexagon with three dents ⋮ A generalization of Aztec dragons ⋮ Toric mutations in the \(\mathrm{dp}_2\) quiver and subgraphs of the \(\mathrm{dp}_2\) brane tiling ⋮ Mixed dimer configuration model in type D cluster algebras ⋮ Beyond Aztec castles: toric cascades in the \(dP_3\) quiver ⋮ Dungeons and dragons: combinatorics for the \(dP_3\) quiver ⋮ Discrete dynamics in cluster integrable systems from geometric \(R\)-matrix transformations ⋮ The cluster modular group of the dimer model ⋮ \(R\)-systems ⋮ Proof of a refinement of Blum's conjecture on hexagonal dungeons ⋮ Lozenge tilings of hexagons with central holes and dents ⋮ Quivers with additive labelings: classification and algebraic entropy

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