Doubly Periodic Monopoles and Exploded Geometry

Abstract: Classical monopole dynamics captures both the geometry of the moduli spaces of quantum supersymmetric gauge theories and the dynamics of certain brane configurations. It is also a good source of self-dual gravitational instantons -- hyperkahler manifolds in real dimension four.

After an overview of these relations for various monopoles, we shall focus on doubly periodic monopoles and their moduli spaces. In particular, the natural compactification of these moduli spaces is formulated in terms of exploded geometry of Brett Parker.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar