Squishing dimers on the hexagon lattice
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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).
DOI :
10.37236/175
Classification :
52C05, 52C07, 05C22, 05C70, 05C10, 05A15, 14N35
Mots-clés : regular honeycomb lattice, hexagon lattice, weighting function, weight of lattice point, 1-factor, 2-factor of graph, weighted matching
Mots-clés : regular honeycomb lattice, hexagon lattice, weighting function, weight of lattice point, 1-factor, 2-factor of graph, weighted matching
@article{10_37236_175,
author = {Ben Young},
title = {Squishing dimers on the hexagon lattice},
journal = {The electronic journal of combinatorics},
year = {2009},
volume = {16},
number = {1},
doi = {10.37236/175},
zbl = {1238.52007},
url = {http://geodesic.mathdoc.fr/articles/10.37236/175/}
}
Ben Young. Squishing dimers on the hexagon lattice. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/175
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