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<p>In this paper, we introduce the spectral Einstein functional for perturbations of Dirac operators on manifolds with boundary. Furthermore, we provide the proof of the Dabrowski–Sitarz–Zalecki type theorems associated with the spectral Einstein functionals for perturbations of Dirac operators, particularly in the cases of on 4-dimensional manifolds with boundary.</p>

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Perturbations of Dirac Operators, Spectral Einstein Functionals and the Noncommutative Residue

  • 期刊论文

  • 发表日期：

    2025年8月15日

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  • Sining Wei,
  • Yong Wang

摘要

In this paper, we introduce the spectral Einstein functional for perturbations of Dirac operators on manifolds with boundary. Furthermore, we provide the proof of the Dabrowski–Sitarz–Zalecki type theorems associated with the spectral Einstein functionals for perturbations of Dirac operators, particularly in the cases of on 4-dimensional manifolds with boundary.