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Gluing formulas for determinants of Dolbeault laplacians on Riemann surfaces
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We present gluing formulas for zeta regularized determinants of Dolbeault laplacians on Riemann surfaces. These are expressed in terms of determinants of associated operators on surfaces with boundary satisfying local elliptic boundary conditions. The conditions are defined using the additional structure of a framing, or trivialization of the bundle near the boundary. An application to the computation of bosonization constants follows directly from these formulas.
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Cited by 2 Pith papers
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The determinant of the Dirichlet-to-Neumann map for a surface with boundary and periods of holomorphic differentials on its double
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Sharp deviation inequalities for the 2D Coulomb gas and Quantum hall states, I
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