Abstract

The $\text{bold}n$-fold dimer model

Christina Meng
Yale University
Department of Mathematics

Recent work by Douglas, Kenyon, Ovenhouse and Shi studies $\text{bold}n$-multiwebs. This new family of objects encompasses dimer covers and double dimer covers, which constitute the special cases where $\text{bold}n\equiv 1$ and $\text{bold}n\equiv 2$, respectively. In this broader setting there are nice extensions of classical results, such as a generalized Kasteleyn determinant formula which counts $\text{bold}n$-multiwebs weighted by their web-traces.
I will survey these results and present some interesting applications.