activity
19972004
most citedSelberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces

2 citations · 2 across the 2 of their papers we have counts for

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Showing 2001Show all

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math.DG2001

Determinants of Laplacians and Isopolar Metrics on Surfaces of Infinite Area

D. Borthwick, C. Judge, P. A. Perry

We construct a determinant of the Laplacian for infinite-area surfaces which are hyperbolic near infinity and without cusps. In the case of a convex co-compact hyperbolic metric, t…

math.SP2001

The spectral density function for the Laplacian on high tensor powers of a line bundle

David Borthwick, Alejandro Uribe

For a symplectic manifold with quantizing line bundle, a choice of almost complex structure determines a Laplacian acting on tensor powers of the bundle. For high tensor powers Gui…