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The Maslov index in symplectic Banach spaces /
"We consider a curve of Fredholm pairs of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming vanishing index, we obtain intrinsically a continuously varying splitting of the total Banach space into pairs of symplectic subspaces. Using suc...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2018]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1201. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "We consider a curve of Fredholm pairs of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming vanishing index, we obtain intrinsically a continuously varying splitting of the total Banach space into pairs of symplectic subspaces. Using such decompositions we define the Maslov index of the curve by symplectic reduction to the classical finite-dimensional case. We prove the transitivity of repeated symplectic reductions and obtain the invariance of the Maslov index under symplectic reduction, while recovering all the standard properties of the Maslov index As an application, we consider curves of elliptic operators which have varying principal symbol, varying maximal domain and are not necessarily of Dirac type. For this class of operator curves, we derive a desuspension spectral flow formula for varying well-posed boundary conditions on manifolds with boundary and obtain the splitting formula of the spectral flow on partitioned manifolds."--Page v |
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| Notas: | "March 2018, volume 252, number 1201 (second of 6 numbers)." |
| Descripción Física: | 1 online resource (x, 118 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 103-107) and indexes. |
| ISBN: | 1470443716 9781470443719 |
| ISSN: | 0065-9266 ; |