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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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Holomorphic $L^2$ torsion without determinant class condition
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by Guangxiang Su PDF
Proc. Amer. Math. Soc. 143 (2015), 4513-4524 Request permission

Abstract:

In this paper, we extend the holomorphic $L^{2}$ torsion introduced by Carey, Farber and Mathai to the case without the determinant class condition. We compute the metric variation formula for the holomorphic $L^{2}$ torsion in our case. We also study the asymptotics of the holomorphic $L^{2}$ torsion associated with a power of a positive line bundle.
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Additional Information
  • Guangxiang Su
  • Affiliation: Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, People’s Republic of China
  • Email: guangxiangsu@nankai.edu.cn
  • Received by editor(s): June 6, 2014
  • Received by editor(s) in revised form: June 12, 2014
  • Published electronically: March 17, 2015
  • Additional Notes: The author was supported by “the Fundamental Research Funds for the Central Universities 65011541” and NSFC 11101219
  • Communicated by: Varghese Mathai
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 4513-4524
  • MSC (2010): Primary 58J52
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12565-8
  • MathSciNet review: 3373949