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

Luc Hillairet, Alexey Kokotov

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-…