DtN isospectrality, flat metrics with non-trivial holonomy and comparison formula for determinants of Laplacian

Abstract

We study comparison formulas for $\zeta$-regularized determinants of self-adjoint extensions of the Laplacian on flat conical surfaces of genus $g\ge 2$. The cases of trivial and non-trivial holonomy of the metric turn out to differ significantly.

References in corpus (1)

• Moduli spaces of meromorphic functions and determinant of Laplacian