5 citations · 17 across the 13 of their papers we have counts for
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math.CO2023★ 2 cited
Demazure weaves for reduced plabic graphs (with a proof that Muller-Speyer twist is Donaldson-Thomas)
Roger Casals, Ian Le, Melissa Sherman-Bennett +1
First, this article develops the theory of weaves and their cluster structures for the affine cones of positroid varieties. In particular, we explain how to construct a weave from…
math.SG2023★ 3 cited
A Lagrangian filling for every cluster seed
Roger Casals, Honghao Gao
We show that each cluster seed in the augmentation variety is inhabited by an embedded exact Lagrangian filling. This resolves the matter of surjectivity of the map from Lagrangian…
math.SG2023★ 4 cited
On Newton polytopes of Lagrangian augmentations
Orsola Capovilla-Searle, Roger Casals
This note explores the use of Newton polytopes in the study of Lagrangian fillings of Legendrian submanifolds. In particular, we show that Newton polytopes associated to augmented…