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

2015/11/15 by Luc Hillairet, Hillairet, Luc, Alexey Kokotov +1
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1511.04774

openalex publication_date 2015/11/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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

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