Abstract - IPAM

Abstract

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

Christina Meng

Yale University

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