Monopolization of Gravitational Instantons

Since their introduction in Euclidean quantum gravity, hyperkaehler Gravitational Instantons found their use in string theory and in supersymmetric quantum field theory.  Just as Riemann surfaces are building blocks of  complex geometry, these spaces are building blocks of quaternionic geometry.  Their classification was recently completed and now their parameter space is being explored.  We propose a systematic program of realizing each of these spaces as a moduli space of monopoles: the monopolization program.  

 

Monopolization reveals the combinatorial and geometric structure of the parameter space, equips each space with various natural structures (tautological bundles, Dirac-type operators, etc), and connects different types of integrable systems associated to these gravitational instantons. 

 

Zoom Link: https://arizona.zoom.us/j/83367539155