Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings. (arXiv:1312.7334v3 [math.SG] UPDATED)

We introduce the notion of a symplectic capacity relative to a coisotropic submanifold of a symplectic manifold, and we construct two examples of such capacities through modifications of the Hofer-Zehnder capacity. As a consequence, we obtain a non-squeezing theorem for symplectic embeddings relative to coisotropic constraints and existence results for leafwise chords on energy surfaces. 查看全文>>