Conformal Perturbations of Twisted Dirac Operators and Noncommutative Residue

Citation:

Sining WEI,Jian WANG,Yong WANG.Conformal Perturbations of Twisted Dirac Operators and Noncommutative Residue[J].Chinese Annals of Mathematics B,2025,46(5):759~794
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Authors:

Sining WEI; Jian WANG;Yong WANG

Foundation:

the National Natural Science Foundation of China (No. 11771070) and the School-Level Project of Dongbei University of Finance and Economics (No. DUFE202159).
Abstract: 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.

Keywords:

Conformal perturbations of twisted Dirac operators  Conformal perturbations of twisted signature operators  Noncommutative residue  Nonunitary connection

Classification:

53C40, 53C42
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