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

Abstract

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.

arXiv comment10 pages, Latex

Cited by in corpus (3)

• Intersection theory of coassociative submanifolds in G_(2)-manifolds and Seiberg-Witten invariants
• A formally Kahler structure on a knot space of a G2-manifold
• Thin instantons in G_2-manifolds and Seiberg-Witten invariants