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Timeline for Lagrangian surgery

Current License: CC BY-SA 4.0

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Jun 2, 2019 at 19:14 comment added Chris Gerig See also Polterovich's short paper "The surgery of Lagrange submanifolds".
Jun 1, 2019 at 13:54 comment added dusan Thank you for your answer and the clarification of the construction. Apparently, answer to my question is yes, we always get a connected Lagrangian since the new submanifold is diffeomorphic to $L_1 \sharp L_2 \sharp P$ where $P$ is a (connected) handle, hence it is connected as a connected sum of connected manifolds of dimension $\geq 2.$
Jun 1, 2019 at 7:57 history edited Robert Bryant CC BY-SA 4.0
Added some clarifying phrases plus a remark about embedding
May 31, 2019 at 21:05 history answered Robert Bryant CC BY-SA 4.0