Cappell-Miller analytic torsion for manifolds with boundary

Details Cappell-Miller analytic torsion for manifolds with boundary Cappell-Miller analytic torsion for manifolds with boundary

2009-12-22

arxiv.org/abs/0912.4314v1

Mathematics

Differential Geometry

14 pages

Scientific paper

Inspired by the work of Boris Vertman on refined analytic torsion for manifolds with boundary, in this paper we extend the construction of the Cappell-Miller analytic torsion to manifolds with boundary. We also compare it with the refined analytic torsion on manifolds with boundary. As a byproduct of the gluing formula for refined analytic torsion and the comparison theorem for the Cappell-Miller analytic torsion and the refined analytic torsion, we establish the gluing formula for the Cappell-Miller analytic torsion in the case that the Hermitian metric is flat.

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