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arXiv · 0906.0717

Compact polyhedral surfaces of an arbitrary genus and determinants of Laplacians

Alexey Kokotov
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Abstract

Compact polyhedral surfaces (or, equivalently, compact Riemann surfaces with conformal flat conical metrics) of an arbitrary genus are considered. After giving a short self-contained survey of their basic spectral properties, we study the zeta-regularized determinant of the Laplacian as a functional on the moduli space of these surfaces. An explicit formula for this determinant is obtained.

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Alexey Kokotov. 2009-06-03. Compact polyhedral surfaces of an arbitrary genus and determinants of Laplacians. https://arxiv.org/abs/0906.0717

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