Relative zeta-determinants of Dirac Laplacians on a half-infinite cylinder with boundary conditions in the smooth, self-adjoint Grassmannian
Autor: | Yoonweon Lee |
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Rok vydání: | 2009 |
Předmět: |
Mathematical analysis
General Physics and Astronomy Boundary conformal field theory Mixed boundary condition Mathematics::Spectral Theory Robin boundary condition Physics::Fluid Dynamics symbols.namesake Grassmannian Dirichlet boundary condition Neumann boundary condition symbols Cauchy boundary condition Geometry and Topology Boundary value problem Mathematical Physics Mathematics |
Zdroj: | Journal of Geometry and Physics. 59:1137-1149 |
ISSN: | 0393-0440 |
DOI: | 10.1016/j.geomphys.2009.05.002 |
Popis: | In this paper we compute the relative zeta-determinants of Dirac Laplacians on a half-infinite cylinder when the Dirichlet boundary condition and the boundary condition belonging to the smooth, self-adjoint Grassmannian are imposed on the bottom of the half-infinite cylinder. We next apply this result to compute the relative zeta-determinants of Dirac Laplacians on a manifold with cylindrical end when the boundary condition belonging to the smooth, self-adjoint Grassmannian is imposed on the bottom of the half-infinite cylinder. |
Databáze: | OpenAIRE |
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