Cappell-Miller analytic torsion for manifolds with boundary
- Autores: Rung-Tzung Huang
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3733-3747
- Idioma: inglés
- DOI: 10.1090/s0002-9939-10-10362-1
- Enlaces
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Resumen
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 where the Hermitian metric is flat.
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