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<p>In this paper, the authors obtain two kinds of Kastler-Kalau-Walze type theorems for conformal perturbations of twisted Dirac operators and conformal perturbations of signature operators by a vector bundle with a non-unitary connection on six-dimensional manifolds with (respectively without) boundary.</p>

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Conformal Perturbations of Twisted Dirac Operators and Noncommutative Residue

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Sining Wei,
  • Jian Wang,
  • Yong Wang

摘要

In this paper, the authors obtain two kinds of Kastler-Kalau-Walze type theorems for conformal perturbations of twisted Dirac operators and conformal perturbations of signature operators by a vector bundle with a non-unitary connection on six-dimensional manifolds with (respectively without) boundary.