A formally Kahler structure on a knot space of a G (2)-manifold

作者：Verbitsky Misha^*

来源：Selecta Mathematica, New Series, 2012, 18(3): 539-555.

DOI：10.1007/s00029-011-0077-8

• G(2)-manifold
• Knot space
• Infinite-dimensional manifold
• Kahler manifold
• Symplectic manifold
• Frechet manifold

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

• 出版日期2012-9