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Universal Maslov class of Bohr - Sommerfeld lagrangian embedding to pseudo - Einstein manifold

Symplectic Geometry 2015-06-26 v3

Abstract

In this paper we define the universal Maslov class of a Bohr - Sommerfeld lagrangian embedding to a simply connected pseudo - Einstein symplectic manifold. This class is an invariant of hamiltonian (isodrastic) deformations of a given Bohr - Sommerfeld lagrangian submanifold.

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Cite

@article{arxiv.math/0602657,
  title  = {Universal Maslov class of Bohr - Sommerfeld lagrangian embedding to pseudo - Einstein manifold},
  author = {N. A. Tyurin},
  journal= {arXiv preprint arXiv:math/0602657},
  year   = {2015}
}

Comments

17 pages, no figures, to the previous version one adds some remarks on the Maslov index of discs and an illustration of the universal Maslov class in view of the extension problem for supercycles lives on a given lagrangian submanifold