À¶Ý®ÊÓƵ

Alex Pawelko, University of À¶Ý®ÊÓƵ

The Formal Kaehler Structure of the G2 Knot Space

We will explore the usual suspects of the moduli space of knots embeddable in a G2 manifold, based upon the work of Brylinski for the analogous space corresponding to the 3-dimensional cross product. This gives an infinite-dimensional "formally Kaehler" manifold, which one can consider Kaehler reduction on. If time permits, we will gesture vaguely at considerations from gauge theory and geometric quantization that motivate many interesting questions in the case of G2 manifolds.

MC 5403