The structure of a symplectic manifold on the space of loops of 7-manifold

Details The structure of a symplectic manifold on the space of loops of 7-manifold The structure of a symplectic manifold on the space of loops of 7-manifold

1999-11-14

arxiv.org/abs/math/9911100v1

Mathematics

Symplectic Geometry

10 pages, Latex

Scientific paper

We define a symplectic structure on the space of non parametrized loops in
$G_2$ manifold. We also develop some basics of intersection theory of
Lagrangian submanifolds.

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