Squeezing Lagrangian tori in dimension 4
Richard HindUniversity of Notre Dame, USA
Emmanuel OpshteinUniversité de Strasbourg, France
Let be the standard symplectic vector space and be the product Lagrangian torus, that is, a product of two circles of areas and in . We give a complete answer to the question of finding the minimal ball into which these Lagrangians may be squeezed by a Hamiltonian flow. The result is that there is full rigidity when , which disappears almost completely when .
Cite this article
Richard Hind, Emmanuel Opshtein, Squeezing Lagrangian tori in dimension 4. Comment. Math. Helv. 95 (2020), no. 3, pp. 535–567DOI 10.4171/CMH/496