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

2017/12/12 by Victor Kalvin, Kalvin, Victor, Alexey Kokotov +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1712.04588

openalex publication_date 2017/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find an explicit expression for the zeta-regularized determinant of (the\nFriedrichs extension) of the Laplacian on a compact Riemann surface of genus\none with conformal metric of curvature 1 having a single conical singularity\nof angle 4\π.\n

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