The shape invariant and path lifting

Abstract: The shape invariant of a symplectic manifold encodes the area classes of Lagrangian submanifolds. This talk describes joint work with Jun Zhang computing the shape for some simple domains in 4-dimensional Euclidean space. We then consider the path lifting problem, which amounts to finding Lagrangian isotopies with specified flux. Finally we discuss possible relations to stabilized symplectic embeddings.

algebraic geometrydifferential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

Free Mathematics Seminar

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