Isospectrality, comparison formulas for determinants of Laplacian and flat metrics with non-trivial holonomy

Hillairet, Luc; Kokotov, Alexey

doi:10.1090/proc/13494

Isospectrality, comparison formulas for determinants of Laplacian and flat metrics with non-trivial holonomy
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Proc. Amer. Math. Soc. 145 (2017), 3915-3928 Request permission

Abstract:

We study comparison formulas for $\zeta$-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.

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