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Asymptotics of the Determinant of Discrete Laplacians on Triangulated and Quadrangulated Surfaces

Asymptotics of the Determinant of Discrete Laplacians on Triangulated and Quadrangulated Surfaces

Consider a surface Ω with a boundary obtained by gluing together a finite number of equilateral triangles, or squares, along their boundaries, equipped with a vector bundle with a flat unitary connection. Let Ωδ be a discretization of this surface, in which each triangle or square is discretized by a …