MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 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.
Some piece-wise smooth Lagrangian fibrations
Ricardo Castaño-Bernard and Diego MatessiAbstract
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:
- 10.05.05
- Published:
- 10.05.05
- MSC Codes:
- 14J32, 53D12, 53D20
- Keywords:
- lagrangian fibration, mirror symmetry, affine structures, action-angle coordinates, symplectic reduction