Speaker :
| Professor Rung-Tzung Huang (National Central University) |
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Title :
|
The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary |
Time :
| 2012-09-21 (Fri) 15:00 - 16:00 |
Place : |
Lecture Hall, Inst. of Mathematics |
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Abstract: |
The refined analytic torsion on compact Riemannian manifolds with boundary has been discussed by B. Vertman and by Yoonweon Lee and myself, but these two constructions
are completely different. In this talk I will first review the standard construction of analytic torsion, then I will introduce a pair of boundary conditions for the odd
signature operator and use them to define our refined analytic torsion on manifolds with boundary. In the end I will compare our construction with Vertman's by using the
deformation method of Bruning-Lesch, when the odd signature operator comes from a Hermitian flat connection and all de Rham cohomologies vanish. |
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