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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cappell-Miller analytic torsion for manifolds with boundary


Author: Rung-Tzung Huang
Journal: Proc. Amer. Math. Soc. 138 (2010), 3733-3747
MSC (2010): Primary 58J52
Published electronically: April 26, 2010
MathSciNet review: 2661572
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10362-1
PII: S 0002-9939(10)10362-1
Keywords: Hilbert complex, analytic torsion
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
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.