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(2002 / vol.5 / no.1)
A brief survey of the gluing formula for the zeta-determinants
Yoonweon Lee
Pages. 81-84     



In this note we discuss two types of the gluing formula for the zeta-determinants
of Laplacians which are known so far.
For the first one, we explain the gluing formula with the Dirichlet and the Neumann boundary
conditions. For the next one, we explain the adiabatic gluing formula with the Atiyah-Patodi-Singer
boundary condition.



1. Introdcution
2. Gluing formula for Laplacians with the Dirichlet and the Neumann boundary conditions
3. The gluing formula in the sense of adiabatic limit
4. Some questions



zeta-determinant, gluing formula, adiabatic limit, Dirichlet (Neumann) boundary condition



58G11, 58G25