Lagrangian split tori in S2×S2 and billiards

In this paper, we classify up to Hamiltonian isotopy Lagrangian tori that split as a product of circles in S2×S2, when the latter is equipped with a non-monotone split symplectic form. We show that this classification is equivalent to a problem of mathematical billiards in rectangles. We give many a...

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Bibliographic Details
Published in:Selecta mathematica (Basel, Switzerland) Switzerland), 2025-09, Vol.31 (4)
Main Authors: Brendel Joé, Kim Joontae
Format: Article
Language:English
Subjects:
Topology
Toruses
Online Access:Get full text
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