Dirac operators with torsion and the noncommutative residue for manifolds with boundary

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• 作者：Jian Wang^a ; ^b ; ^{wangj484@nenu.edu.cn" class="auth_mail} ; ^{wangj068@gmail.com" class="auth_mail} ; Yong Wang^a ; ^{wangy581@nenu.edu.cn" class="auth_mail} ; ChunLing Yang^a
• 关键词：Dirac operators with torsion ; Noncommutative residue ; Orthogonal connection with torsion ; Gravitational action for manifolds with boundary
• 刊名：Journal of Geometry and Physics
• 出版年：July, 2014
• 年：2014
• 卷：81
• 期：Complete
• 页码：92-111
• 全文大小：527 K

文摘

In this paper, we get the Kastler-Kalau-Walze theorem associated to Dirac operators with torsion on compact manifolds with boundary. We give two kinds of operator-theoretic explanations of the gravitational action in the case of 4-dimensional compact manifolds with flat boundary. Furthermore, we get the Kastler-Kalau-Walze type theorem for four dimensional complex manifolds associated with nonminimal operators.