A formally Kahler structure on a knot space of a G2-manifold

Misha Verbitsky

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arXiv · 1003.3174

A formally Kahler structure on a knot space of a G2-manifold

Misha Verbitsky

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Abstract

A knot space in a manifold M is a space of oriented immersions from a circle S^1 to M up to Diff(S^1). Brylinski has shown that a knot space of a Riemannian threefold is formally Kahler. We prove that a space of knots in a holonomy G2 manifold is formally Kahler.

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Misha Verbitsky. 2011-03-03. A formally Kahler structure on a knot space of a G2-manifold. https://arxiv.org/abs/1003.3174

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