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On the Spectral Theory of the Laplacian on Compact Polyhedral Surfaces of Arbitrary Genus


On the Spectral Theory of the Laplacian on Compact Polyhedral Surfaces of Arbitrary Genus

Kokotov, Alexey (2011) On the Spectral Theory of the Laplacian on Compact Polyhedral Surfaces of Arbitrary Genus. In: Computational Approach to Riemann Surfaces. Lecture Notes in Mathematics, pp. 227-253.

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Official URL: http://dx.doi.org/10.1007/978-3-642-17413-1_8


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.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Book Section
Authors:Kokotov, Alexey
Journal or Publication:Computational Approach to Riemann Surfaces - Lecture Notes in Mathematics
Digital Object Identifier (DOI):10.1007/978-3-642-17413-1_8
ID Code:976818
Deposited On:28 Jan 2013 20:54
Last Modified:18 Jan 2018 17:43


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