Squishing dimers on the hexagon lattice
The electronic journal of combinatorics, Tome 16 (2009) no. 1
Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website
Zbl arXiv
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
Ben Young. Squishing dimers on the hexagon lattice. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/175
@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/}
}
Cité par Sources :