홈 editorial content online
Volume 14 (2012)
No 1
Volume 13 (2011)
No 1
Volume 12 (2010)
No 1
Volume 11 (2009)
No 1, No 2
Volume 10 (2008)
No 1, No 2
Volume 9 (2006)
No 1, No 2
Volume 8 (2005)
No 1, No 2
Volume 7 (2004)
No 1, No 2
Volume 6 (2003)
No 1, No 2
Volume 5 (2002)
No 1, No 2
Volume 4 (2001)
No 1, No 2
Volume 3 (2000)
No 1
Volume 2 (1999)
No 1
Volume 1 (1998)
No 1

(2004 / vol.7 / no.1)
Burghelea-Friedlander-Kappeler's gluing formula and its applications to the zeta-determinants of Dirac Laplacians
Yoonweon Lee
Pages. 103-113     



For the last two decades the eta-invariant of a Dirac operator on a compact manifold with cylindrical ends has been studied in many ways. In this note we survey some of these results and the BFK-gluing formula for zeta-determinants. As applications of the BFK-gluing formula we give some partial results for the zeta-determinant of a Dirac Laplacian to the analogous questions as those given in the case of eta-invariant.



1. Introduction
2. Eta-invariant on a manifold with cylindrical end
3. Zeta-determinant of an elliptic operator and the BFK-gluing formula for zeta-determinants
4. Applications of the BFK-gluing formula



Dirac operator, Dirac Laplacian, eta-invariant, zeta-determinant, BFK-gluing formula, Atiyah-Patodi-Singer boundary condition, adiabatic limit



58J52, 58J50