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math.SG2026
Topological constraints on clean Lagrangian intersections via microlocal sheaf theory
Tomohiro Asano, Yukihiro Okamoto
Fix a knot in and consider a Lagrangian submanifold of that is isotopic to the conormal bundle of by a compactly supported Hamilton…
math.SG2026
Non-contractible loops of Legendrian tori from families of knots
Yukihiro Okamoto, Marián Poppr
In the unit cotangent bundle of , we consider loops of Legendrian tori arising as families of the unit conormal bundles of smooth knots in . In this pap…