1999arXiv (Cornell University)Open access

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

M. V. Movshev

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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.

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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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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Symplectic geometry, Manifold (fluid mechanics), Symplectic manifold, Pure mathematics, Space (punctuation), Invariant manifold, Mathematics, Closed manifold

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