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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York, NY
Cambridge University Press
2023
|
| Series: | London Mathematical Society lecture note series
489 |
| Subjects: | |
| Online Access: | BSB01 BTU01 FHN01 Volltext |
| Summary: | 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 15 Dec 2023) |
| Physical Description: | 1 Online-Ressource (viii, 191 Seiten) |
| ISBN: | 9781108902977 |
| DOI: | 10.1017/9781108902977 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV049604262 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 240308s2023 |||| o||u| ||||||eng d | ||
| 020 | |a 9781108902977 |c Online |9 978-1-108-90297-7 | ||
| 024 | 7 | |a 10.1017/9781108902977 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781108902977 | ||
| 035 | |a (OCoLC)1427328667 | ||
| 035 | |a (DE-599)BVBBV049604262 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-634 | ||
| 082 | 0 | |a 516.3/6 | |
| 100 | 1 | |a Hamilton, M. J. D. |d 1977- |0 (DE-588)136002323 |4 aut | |
| 245 | 1 | 0 | |a Künneth geometry |b symplectic manifolds and their Lagrangian foliations |c M. J. D. Hamilton, D. Kotschick |
| 264 | 1 | |a Cambridge ; New York, NY |b Cambridge University Press |c 2023 | |
| 300 | |a 1 Online-Ressource (viii, 191 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society lecture note series |v 489 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 15 Dec 2023) | ||
| 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 | ||
| 650 | 4 | |a Symplectic geometry | |
| 650 | 4 | |a Symplectic manifolds | |
| 650 | 4 | |a Foliations (Mathematics) | |
| 700 | 1 | |a Kotschick, Dieter |d 1963- |0 (DE-588)1131119266 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-1-108-83071-3 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-1-108-82875-8 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781108902977 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-034948624 | ||
| 966 | e | |u https://doi.org/10.1017/9781108902977 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108902977 |l BTU01 |p ZDB-20-CBO |q BTU_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108902977 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804186486359195648 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Hamilton, M. J. D. 1977- Kotschick, Dieter 1963- |
| author_GND | (DE-588)136002323 (DE-588)1131119266 |
| author_facet | Hamilton, M. J. D. 1977- Kotschick, Dieter 1963- |
| author_role | aut aut |
| author_sort | Hamilton, M. J. D. 1977- |
| author_variant | m j d h mjd mjdh d k dk |
| building | Verbundindex |
| bvnumber | BV049604262 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781108902977 (OCoLC)1427328667 (DE-599)BVBBV049604262 |
| dewey-full | 516.3/6 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02829nmm a2200457zcb4500</leader><controlfield tag="001">BV049604262</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">240308s2023 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108902977</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-108-90297-7</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781108902977</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781108902977</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1427328667</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV049604262</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/6</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hamilton, M. J. D.</subfield><subfield code="d">1977-</subfield><subfield code="0">(DE-588)136002323</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Künneth geometry</subfield><subfield code="b">symplectic manifolds and their Lagrangian foliations</subfield><subfield code="c">M. J. D. Hamilton, D. Kotschick</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge ; New York, NY</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2023</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (viii, 191 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">489</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 15 Dec 2023)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Symplectic geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Symplectic manifolds</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Foliations (Mathematics)</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kotschick, Dieter</subfield><subfield code="d">1963-</subfield><subfield code="0">(DE-588)1131119266</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-1-108-83071-3</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-1-108-82875-8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781108902977</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-034948624</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108902977</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108902977</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BTU_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108902977</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| 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 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034948624 |
| oclc_num | 1427328667 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-634 |
| owner_facet | DE-12 DE-92 DE-634 |
| physical | 1 Online-Ressource (viii, 191 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO BTU_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| 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 |