ncku-talk2010-09-23

NCTS(South)/ NCKU Math Colloquium

DATE 2010-09-23　16:10-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Rung-Tzung Huang（Academia sinica）

TITLE The refined analytic torsion and a well-posed boundary condition for the odd signature operator

ABSTRACT The refined analytic torsion was introduced on an odd dimensional closed Riemannian manifold by M. Braverman and T. Kappeler as an analytic analogue of the refined combinatorial torsion introduced by M. Farber and V. Turaev. It is defined by using the graded zeta-determinant of the odd signature operator acting on flat bundle valued differential forms.
In this talk we discuss the refined analytic torsion on a compact Riemannian manifold with boundary. For this purpose we introduce a well-posed boundary condition for the odd signature operator and show that the refined analytic torsion is well-defined under this boundary condition. B. Vertman has already studied the refined analytic torsion on a compact manifold with boundary, but our approach is different from what he presented. This is a joint work with Yoonweon Lee.

NCTS(South)/ NCKU Math Colloquium

DATE	2010-09-23　16:10-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Rung-Tzung Huang（Academia sinica）

TITLE	The refined analytic torsion and a well-posed boundary condition for the odd signature operator

ABSTRACT	The refined analytic torsion was introduced on an odd dimensional closed Riemannian manifold by M. Braverman and T. Kappeler as an analytic analogue of the refined combinatorial torsion introduced by M. Farber and V. Turaev. It is defined by using the graded zeta-determinant of the odd signature operator acting on flat bundle valued differential forms. In this talk we discuss the refined analytic torsion on a compact Riemannian manifold with boundary. For this purpose we introduce a well-posed boundary condition for the odd signature operator and show that the refined analytic torsion is well-defined under this boundary condition. B. Vertman has already studied the refined analytic torsion on a compact manifold with boundary, but our approach is different from what he presented. This is a joint work with Yoonweon Lee.