Morse Homology
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1993
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| Schriftenreihe: | Progress in Mathematics
111 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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MARC
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| 100 | 1 | |a Schwarz, Matthias |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Morse Homology |c by Matthias Schwarz |
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| 490 | 0 | |a Progress in Mathematics |v 111 | |
| 500 | |a 1.1 Background The subject of this book is Morse homology as a combination of relative Morse theory and Conley's continuation principle. The latter will be useda s an instrument to express the homology encoded in a Morse complex associated to a fixed Morse function independent of this function. Originally, this type of Morse-theoretical tool was developed by Andreas Floer in order to find a proof of the famous Arnold conjecture, whereas classical Morse theory turned out to fail in the infinite-dimensional setting. In this framework, the homological variant of Morse theory is also known as Floer homology. This kind of homology theory is the central topic of this book. But first, it seems worthwhile to outline the standard Morse theory. 1.1.1 Classical Morse Theory The fact that Morse theory can be formulated in a homological way is by no means a new idea. The reader is referred to the excellent survey paper by Raoul Bott [Bol | ||
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| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
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| building | Verbundindex |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8577-5 |
| format | Electronic eBook |
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| id | DE-604.BV042422173 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:51:13Z |
| institution | BVB |
| isbn | 9783034885775 9783034896887 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857590 |
| oclc_num | 869860050 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (IX, 236 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Birkhäuser Basel |
| record_format | marc |
| series2 | Progress in Mathematics |
| spellingShingle | Schwarz, Matthias Morse Homology Mathematics Global analysis (Mathematics) Geometry Topology Analysis Mathematik Homologie (DE-588)4141951-0 gnd Morse-Theorie (DE-588)4197103-6 gnd |
| subject_GND | (DE-588)4141951-0 (DE-588)4197103-6 |
| title | Morse Homology |
| title_auth | Morse Homology |
| title_exact_search | Morse Homology |
| title_full | Morse Homology by Matthias Schwarz |
| title_fullStr | Morse Homology by Matthias Schwarz |
| title_full_unstemmed | Morse Homology by Matthias Schwarz |
| title_short | Morse Homology |
| title_sort | morse homology |
| topic | Mathematics Global analysis (Mathematics) Geometry Topology Analysis Mathematik Homologie (DE-588)4141951-0 gnd Morse-Theorie (DE-588)4197103-6 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Geometry Topology Analysis Mathematik Homologie Morse-Theorie |
| url | https://doi.org/10.1007/978-3-0348-8577-5 |
| work_keys_str_mv | AT schwarzmatthias morsehomology |