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math.SG2025
Homotopy rigidity of nearby Lagrangian cocores
Johan Asplund, Yash Deshmukh, Alex Pieloch
An exact Lagrangian submanifold in a Weinstein sector is called a nearby Lagrangian cocore if it avoids all Lagrangian cocores and is equal to a shifted Lagrangi…
math.SG2025
Persistence of unknottedness of clean Lagrangian intersections
Johan Asplund, Yin Li
Let and be two Lagrangian spheres in a -dimensional symplectic manifold. Assume that and intersect cleanly along a circle that is unknotted in both …