A formally Kahler structure on a knot space of a G2-manifold
Differential Geometry
2012-10-15 v3 Complex Variables
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.
Cite
@article{arxiv.1003.3174,
title = {A formally Kahler structure on a knot space of a G2-manifold},
author = {Misha Verbitsky},
journal= {arXiv preprint arXiv:1003.3174},
year = {2012}
}
Comments
v. 3.0, 24 pages, general clean-up (many typos fixed), final version