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

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

No reviews yet.

No comments yet.