The \(\bold{n}\)-fold dimer model

Christina Meng
Yale University
Department of Mathematics

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


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