Laemotentoma: Treating of symplectic neck stretching in symplectic 4-manifolds across Lagrangian surfaces

Abstract: Recently Borman-Li-Wu found an example of two Lagrangian embeddings of the real projective plane RP^2 in a symplectic 4-manifold which are Z_2-homologous but not isotopic, even smoothly.

In my talk I make a short introduction to the technique of the symplectic neck stretching ("Laemotentoma") and show how it can be used to classify Lagrangian embeddings of RP^2 in symplectic 4-manifolds. In particular, I show that for any given number N there exist a rational symplectic 4-manifold X and Lagrangian embeddings P_1, ..., P_N of RP^2 in X in the same Z_2-homology class which are pairwisely not isotopic, even smoothly.

mathematical physicsalgebraic topologydifferential geometryrepresentation theorystatistics theory

Audience: researchers in the topic

( video )

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Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

Series comments: Virtual coffee starts on Zoom already 15 minutes before the seminar.

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