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Статья

A Formally Kahler structure on a knot space of a G<sub>2</sub>-manifold

Selecta Mathematica, New Series. 2012. Vol. 18. No. 3. P. 539-555.

A knot space in a manifold M is a space of oriented immersions S1M up to Diff(S 1). J.-L. Brylinski has shown that a knot space of a Riemannian threefold is formally Kähler. We prove that a space of knots in a holonomy G 2 manifold is formally Kähler.