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    NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Item 987654321/109293


    請使用永久網址來引用或連結此文件: https://ir.lib.ncu.edu.tw/handle/987654321/109293


    題名: The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary
    作者: 黃榮宗;Huang, Rung-Tzung;Lee, Yoonweon
    貢獻者: 理學院數學系
    關鍵詞: Eta-invariant;Odd signature operator;Refined analytic torsion;Well-posed boundary condition;Zeta-determinant
    日期: 2014-01-01
    上傳時間: 2026-04-23 16:24:08 (UTC+8)
    出版者: Elsevier;Elsevier B.V
    摘要: 摘要: The refined analytic torsion on compact Riemannian manifolds with boundary has been discussed by B. Vertman (Vertman, 2009, 2008) and the authors (Huang and Lee, 2010, 2012) but these two constructions are completely different. Vertman used a double of de Rham complexes consisting of the minimal and maximal closed extensions of a flat connection and the authors used well-posed boundary conditions P−,L0, P+,L1 for the odd signature operator. In this paper we compare these two constructions by using the BFK-gluing formula for zeta-determinants, the adiabatic method for stretching cylinder part near boundary and the result for comparison of eta invariants in Huang and Lee (2012) when the odd signature operator comes from a Hermitian flat connection.
    出版者: Elsevier B.V
    出版日期: 2014-02-01
    出處: Journal of geometry and physics, 2014-02, Vol.76, p.79-96
    資源來源: Elsevier ScienceDirect Journals Complete
    版權: 2013 Elsevier B.V.
    識別號: ISSN: 0393-0440
    識別號: EISSN: 1879-1662
    識別號: DOI: 10.1016/j.geomphys.2013.10.015
    顯示於類別:[數學系] 期刊論文

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