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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cappell-Miller analytic torsion for manifolds with boundary
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by Rung-Tzung Huang PDF
Proc. Amer. Math. Soc. 138 (2010), 3733-3747 Request permission

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
  • 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