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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
47/2005

Some piece-wise smooth Lagrangian fibrations

Ricardo Castaño-Bernard and Diego Matessi

Abstract

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.

Received:
May 10, 2005
Published:
May 10, 2005
MSC Codes:
14J32, 53D12, 53D20
Keywords:
lagrangian fibration, mirror symmetry, affine structures, action-angle coordinates, symplectic reduction

Related publications

inJournal
2005 Repository Open Access
Ricardo Castano-Bernard and Diego Matessi

Some piece-wise smooth Lagrangian fibrations

In: Rendiconti del Seminario Matematico, 63 (2005) 3, pp. 223-253