Künneth geometry: symplectic manifolds and their Lagrangian foliations
This clear and elegant text introduces Künneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of...
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY
Cambridge University Press
2023
|
| Schriftenreihe: | London Mathematical Society lecture note series
489 |
| Schlagworte: | |
| Online-Zugang: | BSB01 BTU01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | This clear and elegant text introduces Künneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Künneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 15 Dec 2023) |
| Beschreibung: | 1 Online-Ressource (viii, 191 Seiten) |
| ISBN: | 9781108902977 |
| DOI: | 10.1017/9781108902977 |
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| 520 | |a This clear and elegant text introduces Künneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Künneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research | ||
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| author | Hamilton, M. J. D. 1977- Kotschick, Dieter 1963- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/6 |
| dewey-search | 516.3/6 |
| dewey-sort | 3516.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781108902977 |
| format | Electronic eBook |
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| id | DE-604.BV049604262 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:35:09Z |
| indexdate | 2024-07-10T10:11:54Z |
| institution | BVB |
| isbn | 9781108902977 |
| language | English |
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| physical | 1 Online-Ressource (viii, 191 Seiten) |
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| spelling | Hamilton, M. J. D. 1977- (DE-588)136002323 aut Künneth geometry symplectic manifolds and their Lagrangian foliations M. J. D. Hamilton, D. Kotschick Cambridge ; New York, NY Cambridge University Press 2023 1 Online-Ressource (viii, 191 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 489 Title from publisher's bibliographic system (viewed on 15 Dec 2023) This clear and elegant text introduces Künneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Künneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research Symplectic geometry Symplectic manifolds Foliations (Mathematics) Kotschick, Dieter 1963- (DE-588)1131119266 aut Erscheint auch als Druck-Ausgabe 978-1-108-83071-3 Erscheint auch als Druck-Ausgabe 978-1-108-82875-8 https://doi.org/10.1017/9781108902977 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Hamilton, M. J. D. 1977- Kotschick, Dieter 1963- Künneth geometry symplectic manifolds and their Lagrangian foliations Symplectic geometry Symplectic manifolds Foliations (Mathematics) |
| title | Künneth geometry symplectic manifolds and their Lagrangian foliations |
| title_auth | Künneth geometry symplectic manifolds and their Lagrangian foliations |
| title_exact_search | Künneth geometry symplectic manifolds and their Lagrangian foliations |
| title_exact_search_txtP | Künneth geometry symplectic manifolds and their Lagrangian foliations |
| title_full | Künneth geometry symplectic manifolds and their Lagrangian foliations M. J. D. Hamilton, D. Kotschick |
| title_fullStr | Künneth geometry symplectic manifolds and their Lagrangian foliations M. J. D. Hamilton, D. Kotschick |
| title_full_unstemmed | Künneth geometry symplectic manifolds and their Lagrangian foliations M. J. D. Hamilton, D. Kotschick |
| title_short | Künneth geometry |
| title_sort | kunneth geometry symplectic manifolds and their lagrangian foliations |
| title_sub | symplectic manifolds and their Lagrangian foliations |
| topic | Symplectic geometry Symplectic manifolds Foliations (Mathematics) |
| topic_facet | Symplectic geometry Symplectic manifolds Foliations (Mathematics) |
| url | https://doi.org/10.1017/9781108902977 |
| work_keys_str_mv | AT hamiltonmjd kunnethgeometrysymplecticmanifoldsandtheirlagrangianfoliations AT kotschickdieter kunnethgeometrysymplecticmanifoldsandtheirlagrangianfoliations |