DtN isospectrality, flat metrics with non-trivial holonomy and comparison formula for determinants of Laplacian
classification
🧮 math.SP
math.DG
keywords
comparisondeterminantsflatholonomylaplaciannon-trivialcasesconical
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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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