A formally Kahler structure on a knot space of a G2-manifold
classification
🧮 math.DG
math.CV
keywords
spaceformallykahlerknotmanifoldbrylinskicirclediff
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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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