학술논문

The inverse spectral map for dimers
Document Type
Working Paper
Source
Subject
Mathematics - Algebraic Geometry
Mathematics - Combinatorics
Language
Abstract
In 2015, Vladimir Fock proved that the spectral transform, associating to an element of a dimer cluster integrable system its spectral data, is birational by constructing an inverse map using theta functions on Jacobians of spectral curves. We provide an alternate construction of the inverse map that involves only rational functions in the spectral data.
Comment: 46 pages, 13 figures, final version to appear in Mathematical Physics, Analysis and Geometry