Moduli spaces of meromorphic functions and determinant of Laplacian

Luc Hillairet, Victor Kalvin, Alexey Kokotov

The Hurwitz space is the moduli space of pairs $(X,f)$ where $X$ is a compact Riemann surface and $f$ is a meromorphic function on $X$. We study the Laplace operator ${\Delta }^{|df{|}^2}$ o…