Morse theory without nondegeneracy
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only finitely many connected components.
| Päätekijät: | , |
|---|---|
| Aineistotyyppi: | Working paper |
| Kieli: | English |
| Julkaistu: |
University of Oxford
2020
|
| _version_ | 1826275532915867648 |
|---|---|
| author | Kirwan, F Penington, G |
| author_facet | Kirwan, F Penington, G |
| author_sort | Kirwan, F |
| collection | OXFORD |
| description | We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only finitely many connected components. |
| first_indexed | 2024-03-06T23:00:09Z |
| format | Working paper |
| id | oxford-uuid:61d6990c-c7d9-42a8-a5ad-43b8fecc6249 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:00:09Z |
| publishDate | 2020 |
| publisher | University of Oxford |
| record_format | dspace |
| spelling | oxford-uuid:61d6990c-c7d9-42a8-a5ad-43b8fecc62492022-03-26T18:02:23ZMorse theory without nondegeneracyWorking paperhttp://purl.org/coar/resource_type/c_8042uuid:61d6990c-c7d9-42a8-a5ad-43b8fecc6249EnglishSymplectic ElementsUniversity of Oxford2020Kirwan, FPenington, GWe describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only finitely many connected components. |
| spellingShingle | Kirwan, F Penington, G Morse theory without nondegeneracy |
| title | Morse theory without nondegeneracy |
| title_full | Morse theory without nondegeneracy |
| title_fullStr | Morse theory without nondegeneracy |
| title_full_unstemmed | Morse theory without nondegeneracy |
| title_short | Morse theory without nondegeneracy |
| title_sort | morse theory without nondegeneracy |
| work_keys_str_mv | AT kirwanf morsetheorywithoutnondegeneracy AT peningtong morsetheorywithoutnondegeneracy |