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Cappell-Miller analytic torsion for manifolds with boundary
Author(s):
Rung-Tzung
Huang
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3733-3747.
MSC (2010):
Primary 58J52
Posted:
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:
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
Posted:
April 26, 2010
Communicated by:
Varghese Mathai
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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