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Title:
A quantitative perspective on the classification of Lagrangian tori
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Abstract:
We present classification results for Lagrangian tori while taking quantitative considerations into account. In this manner we obtain a characterisation of product tori inside the unit ball up to Hamiltonian isotopy. In particular, we show that an extremal Lagrangian torus inside the unit four-ball is entirely contained in the boundary, and that it is Hamiltonian isotopic to the monotone product torus contained inside the same. This builds upon joint work with E. Goodman and A. Ivrii.
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