Squishing Dimers on the Hexagon Lattice

  • Ben Young

Abstract

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).

Published
2009-07-24
Article Number
R86