Conformal invariants for determinants of laplacians on Riemann surfaces |
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Authors: | William I Weisberger |
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Institution: | (1) Institute for Theoretical Physics, State University of New York at Stony Brook, 11794-3840 Stony Brook, New York, USA |
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Abstract: | For a Riemann surface with smooth boundaries, conformal (Weyl) invariant quantities proportional to the determinant of the scalar Laplacian operator are constructed both for Dirichlet and Neumann boundary conditions. The determinants are defined by zeta function regularization. The other quantities in the invariants are determined from metric properties of the surface. As applications explicit representations for the determinants on the flat disk and the flat annulus are derived. |
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