Some piece-wise smooth Lagrangian fibrations
Ricardo Castaño-Bernard and Diego Matessi
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Submission date: 10. May. 2005
published in: Rendiconti del Seminario Matematico, 63 (2005) 3, p. 223-253
MSC-Numbers: 14J32, 53D12, 53D20
Keywords and phrases: lagrangian fibration, mirror symmetry, affine structures, action-angle coordinates, symplectic reduction
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Motivated by the work of M. Gross on topological Mirror Symmetry, we describe some piece-wise smooth local Lagrangian models of singular torus fibrations. In order to understand them better, we also develop some tools which generalize the notion of action-angle coordinates of smooth fibrations.