Exact Lagrangian immersions in Euclidean space
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Mon, 29/04 15:45 |
Ivan Smith (Cambridge) |
Topology Seminar  |
L3 |
| Exact Lagrangian immersions are governed by an h-principle, whilst exact Lagrangian embeddings are well-known to be constrained by strong rigidity theorems coming from holomorphic curve theory. We consider exact Lagrangian immersions in Euclidean space with a prescribed number of double points, and find that the borderline between flexibility and rigidity is more delicate than had been imagined. The main result obtains constraints on such immersions with exactly one double point which go beyond the usual setting of Morse or Floer theory. This is joint work with Tobias Ekholm, and in part with Ekholm, Eliashberg and Murphy. | |||