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math.DG2003★ 2 cited
Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces
D. Borthwick, C. Judge, P. A. Perry
For hyperbolic Riemann surfaces of finite geometry, we study Selberg's zeta function and its relation to the relative scattering phase and the resonances of the Laplacian. As an ap…
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.DG1998
Nearly Kahlerian Embeddings of Symplectic Manifolds
David Borthwick, Alejandro Uribe
Given an integral symplectic manifold, we construct a family of "coherent state" maps into complex projective space. The maps are built from sections of the tensor powers of a herm…