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

Published 13 Dec 2017 in math.DG and math.SP | (1712.04588v2)

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 $4\pi$.

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