Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary
In this paper, we give two Lichnerowicz-type formulas for modified Novikov operators. We prove Kastler-Kalau-Walze-type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary. We also compute the spectral action for Witten deformation on 4-dimensional com...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/9090656 |
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| author | Sining Wei Yong Wang |
| author_facet | Sining Wei Yong Wang |
| author_sort | Sining Wei |
| collection | DOAJ |
| description | In this paper, we give two Lichnerowicz-type formulas for modified Novikov operators. We prove Kastler-Kalau-Walze-type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary. We also compute the spectral action for Witten deformation on 4-dimensional compact manifolds. |
| format | Article |
| id | doaj-art-76055c582f79487caeff49a5bf65cd78 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-76055c582f79487caeff49a5bf65cd782025-08-20T03:35:33ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/90906569090656Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with BoundarySining Wei0Yong Wang1School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaIn this paper, we give two Lichnerowicz-type formulas for modified Novikov operators. We prove Kastler-Kalau-Walze-type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary. We also compute the spectral action for Witten deformation on 4-dimensional compact manifolds.http://dx.doi.org/10.1155/2020/9090656 |
| spellingShingle | Sining Wei Yong Wang Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary Advances in Mathematical Physics |
| title | Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary |
| title_full | Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary |
| title_fullStr | Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary |
| title_full_unstemmed | Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary |
| title_short | Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary |
| title_sort | modified novikov operators and the kastler kalau walze type theorem for manifolds with boundary |
| url | http://dx.doi.org/10.1155/2020/9090656 |
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