Proves an explicit algebra isomorphism between the localized bosonic extension from i-box chains and the coordinate ring of the braid variety from Demazure weaves, compatible with seeds and mapping PBW vectors to coordinates.
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A Comparison of cluster algebra structures arising from $i$-boxes and Demazure weaves
Proves an explicit algebra isomorphism between the localized bosonic extension from i-box chains and the coordinate ring of the braid variety from Demazure weaves, compatible with seeds and mapping PBW vectors to coordinates.