| HAL: hal-00017676, version 1 |
| arXiv: math.DG/0601586 |
| Detailed view | Export this paper |
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| Cubo, a Mathematical Journal 8 (2006) N. 1, p. 1--15. |
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| A topological definition of the Maslov bundle |
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| Colette Anné 1 |
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| (2006) |
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| We give a definition of the Maslov fibre bundle for a lagrangian submanifold of the cotangent bundle of a smooth manofold. This definition generelizes the definition given, in homotopic terms, by Arnol'd for lagrangian submanifolds of the cotangent bundle of the euclidean space and coincides with the one of Hörmander in his works about Fourier Inegral Operators. |
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| 1: | Laboratoire de Mathématiques Jean Leray (LMJL) |
| CNRS : UMR6629 – Université de Nantes – École Centrale de Nantes | |
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| Subject | : | Mathematics/Differential Geometry Mathematics/Symplectic Geometry Mathematics/Mathematical Physics |
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| Fourier Integral Operators – Maslov bundle – Hörmander's index. |
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| Attached file list to this document: | ||||||||||
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| hal-00017676, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00017676 | |
| oai:hal.archives-ouvertes.fr:hal-00017676 | |
| From: Colette Anné | |
| Submitted on: Tuesday, 24 January 2006 16:29:54 | |
| Updated on: Tuesday, 24 January 2006 17:38:13 | |