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arXiv · 1511.04774

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

Luc Hillairet·Alexey Kokotov
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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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Luc Hillairet, Alexey Kokotov. 2015-11-15. DtN isospectrality, flat metrics with non-trivial holonomy and comparison formula for determinants of Laplacian. https://arxiv.org/abs/1511.04774

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