A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary
We prove a Kastler-Kalau-Walze type theorem for perturbations of Dirac operators on compact manifolds with or without boundary. As a corollary, we give two kinds of operator-theoretic explanations of the gravitational action on boundary. We also compute the spectral action for Dirac operators with t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/619120 |
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| _version_ | 1832548080570859520 |
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| author | Yong Wang |
| author_facet | Yong Wang |
| author_sort | Yong Wang |
| collection | DOAJ |
| description | We prove a Kastler-Kalau-Walze type theorem for perturbations of Dirac operators on compact manifolds with or without boundary. As a corollary, we give two kinds of operator-theoretic explanations of the gravitational action on boundary. We also compute the spectral action for Dirac operators with two-form perturbations on 4-dimensional compact manifolds. |
| format | Article |
| id | doaj-art-ba3b7ab89669403daeb78388688aac04 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ba3b7ab89669403daeb78388688aac042025-02-03T06:42:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/619120619120A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with BoundaryYong Wang0School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, ChinaWe prove a Kastler-Kalau-Walze type theorem for perturbations of Dirac operators on compact manifolds with or without boundary. As a corollary, we give two kinds of operator-theoretic explanations of the gravitational action on boundary. We also compute the spectral action for Dirac operators with two-form perturbations on 4-dimensional compact manifolds.http://dx.doi.org/10.1155/2014/619120 |
| spellingShingle | Yong Wang A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary Abstract and Applied Analysis |
| title | A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary |
| title_full | A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary |
| title_fullStr | A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary |
| title_full_unstemmed | A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary |
| title_short | A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary |
| title_sort | kastler kalau walze type theorem and the spectral action for perturbations of dirac operators on manifolds with boundary |
| url | http://dx.doi.org/10.1155/2014/619120 |
| work_keys_str_mv | AT yongwang akastlerkalauwalzetypetheoremandthespectralactionforperturbationsofdiracoperatorsonmanifoldswithboundary AT yongwang kastlerkalauwalzetypetheoremandthespectralactionforperturbationsofdiracoperatorsonmanifoldswithboundary |