On the asymptotics of determinant of Laplacian at the principal boundary of the principal stratum of the moduli space of Abelian differentials

2009/08/11 by Alexey Kokotov, Kokotov, Alexey
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Dynamics and Fractals #Spectral Theory (math.SP) #advanced mathematical theories #math.DG #math.SP

paper · pdf · doi:10.48550/arxiv.0908.1594

arxiv created 2009/08/11 · openalex publication_date 2009/08/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the asymptotics of the determinant of Laplacian on a translation surface (a compact Riemann surface equipped with a conformal flat conical metric with trivial holonomy) of genus g with 2g-2 conical points of angle 4πas two conical points collide.

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