Determinant of Laplacian on tori of constant positive curvature with one 
conical point

Kalvin, Victor; Kokotov, Alexey

doi:10.4153/CMB-2018-036-9

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Determinant of Laplacian on tori of constant positive curvature with one conical point

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Kokotov, Alexey
Max Planck Institute for Mathematics, Max Planck Society;

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http://www.mpim-bonn.mpg.de/preblob/5838
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https://doi.org/10.4153/CMB-2018-036-9
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Citation

Kalvin, V., & Kokotov, A. (2019). Determinant of Laplacian on tori of constant positive curvature with one conical point. Canadian Mathematical Bulletin, 62(2), 341-347. doi:10.4153/CMB-2018-036-9.

Cite as: https://hdl.handle.net/21.11116/0000-0004-A7BE-A

Abstract

We find an explicit expression for the zeta-regularized determinant of (the Friedrichs extension) of the Laplacian on a compact Riemann surface of genus one with conformal metric of curvature $1$ having a single conical singularity of angle $4\pi$.