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(1999 / vol.2 / no.1)
Determinant of a Dirac Operator on a Compact Manifold with Boundary
Yoonweon Lee
Pages. 145-149     



In this note we discuss the relation between well-posed
boundary conditions of a Dirac operator defining the regularized determinant
and the asymptotic expansions of the trace of the heat kernel. We also
discuss the zeta functions and eta functions associated to well-posed
boundary conditions.



1. Introduction
2. Dirac operators and well-posed boundary conditions
3. Asymptotics of the traces of heat kernels of $D_B$ and $D^2_B$



Dirac operator,well-posed boundary condition, regularized determinant



58G11, 58G25