The Combinatorial PT-DT Correspondence

Introduction
Definitions
DT
	DT Box Configurations
	DT Theory and the Dimer Model
	The Condensation Recurrence in DT Theory
PT
	Labelled PT Box Configurations
	Labelled AB Configurations
		The Base AB Configuration
		The Labelling Algorithm for AB Configurations
		Projection to the Base AB Configuration
	PT Theory and the Labelled Double-Dimer Model
	Proofs of the Equivalence of the Labelling Algorithms
	The Condensation Recurrence in PT Theory
	Example
Weights
	Modifying the Partition mu
		The Diagonal of mu
		The Partitions mur and muc
		The Partition murc
	DT Weights
		Weight of Minimal Configuration
		Algebraic Simplification
	PT Weights
		Edge-Weight of Base Double-Dimer Configuration
		Algebraic Simplification
REFERENCES CITED