Cappell-Miller analytic torsion for manifolds with boundary
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Abstract:
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.References
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Additional Information
- Rung-Tzung Huang
- Affiliation: Institute of Mathematics, Academia Sinica, 6th floor, Astronomy-Mathematics Building, No. 1, Section 4, Roosevelt Road, Taipei, 106-17, Taiwan
- Email: rthuang@math.sinica.edu.tw
- Received by editor(s): December 17, 2009
- Received by editor(s) in revised form: January 5, 2010
- Published electronically: April 26, 2010
- Communicated by: Varghese Mathai
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 3733-3747
- MSC (2010): Primary 58J52
- DOI: https://doi.org/10.1090/S0002-9939-10-10362-1
- MathSciNet review: 2661572