19 citations · 75 across the 13 of their papers we have counts for
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math.SG2023
Augmentations, Fillings, and Clusters for 2-Bridge Links
Orsola Capovilla-Searle, James Hughes, Daping Weng
We produce the first examples relating non-orientable exact Lagrangian fillings of Legendrian links to cluster theory, showing that the ungraded augmentation variety of certain max…
math.SG2022★ 5 cited
Microlocal Theory of Legendrian Links and Cluster Algebras
Roger Casals, Daping Weng
We show the existence of quasi-cluster -structures and cluster Poisson structures on moduli stacks of sheaves with singular support in the alternating strand diagram o…
math.SG2020★ 15 cited
Augmentations, Fillings, and Clusters
Honghao Gao, Linhui Shen, Daping Weng
We investigate positive braid Legendrian links via a Floer-theoretic approach and prove that their augmentation varieties are cluster K2 (aka. A-) varieties. Using the exact Lagran…