most citedOn faces of the Kunz cone and the numerical semigroups within them

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math.SG2025

Weak Relative Calabi-Yau Structures for Legendrian Contact Homology

Jiajie Ma, Joshua M. Sabloff

Legendrian Contact Homology (LCH) and its augmentations are important invariants of Legendrian submanifolds, and for Legendrian knots in the standard contact 3-space in particular.…

math.SG2025

Exact Lagrangian fillability of 3-braid closures

James Hughes, Jiajie Ma

We determine when a Legendrian quasipositive 3-braid closure in standard contact admits an orientable or non-orientable exact Lagrangian filling. Our main result pro…