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

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

2010-03-16

arxiv.org/abs/1003.3174v3

Mathematics

Differential Geometry

v. 3.0, 24 pages, general clean-up (many typos fixed), final version

Scientific paper

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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