Double Hurwitz numbers are the weighted numbers of ramified covers of a Riemann sphere with some specified ramificaton data. I will describe a way to count double Hurwitz numbers using the complex Feynman calculus formalism and discuss some related problems.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/4811