2 papers
math.RT2026
Weighted Cycles on Weaves
Daping Weng
We introduce weighted cycles on weaves of general Dynkin types and define a skew-symmetrizable intersection pairing between weighted cycles. We prove that weighted cycles on a weav…
math.SG2025
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…