Squishing Dimers on the Hexagon Lattice
Copyright policy )Squishing Dimers on the Hexagon Lattice
We describe an operation on dimer configurations on the hexagon lattice, called "squishing", and use this operation to explain some of the properties of the Donaldson-Thomas partition function for the orbifold ${\Bbb C}^3 / {\Bbb Z}_2 \times {\Bbb Z}_2$ (a certain four-variable generating function for plane partitions which comes from algebraic geometry).
- McGill University Canada
Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry), 1-factor, 82B20, Exact enumeration problems, generating functions, weight of lattice point, weighted matching, Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry), Signed and weighted graphs, Planar graphs; geometric and topological aspects of graph theory, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), 2-factor of graph, FOS: Mathematics, weighting function, Mathematics - Combinatorics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), hexagon lattice, Combinatorics (math.CO), regular honeycomb lattice
Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry), 1-factor, 82B20, Exact enumeration problems, generating functions, weight of lattice point, weighted matching, Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry), Signed and weighted graphs, Planar graphs; geometric and topological aspects of graph theory, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), 2-factor of graph, FOS: Mathematics, weighting function, Mathematics - Combinatorics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), hexagon lattice, Combinatorics (math.CO), regular honeycomb lattice
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