Rot, Thomas O. (2016). The Morse-Bott inequalities, orientations, and the Thom isomorphism in Morse homology. C. R. Math., 354 (10). S. 1026 - 1029. PARIS: ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER. ISSN 1778-3569
Full text not available from this repository.Abstract
The Morse-Bott inequalities relate the topology of a closed manifold to the topology of the critical point set of a Morse-Bott function defined on it. The Morse-Bott inequalities are sometimes stated under incorrect orientation assumptions. We show that these assumptions are insufficient with an explicit counterexample and clarify the origin of the mistake. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-260378 | ||||||||
| DOI: | 10.1016/j.crma.2016.08.003 | ||||||||
| Journal or Publication Title: | C. R. Math. | ||||||||
| Volume: | 354 | ||||||||
| Number: | 10 | ||||||||
| Page Range: | S. 1026 - 1029 | ||||||||
| Date: | 2016 | ||||||||
| Publisher: | ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER | ||||||||
| Place of Publication: | PARIS | ||||||||
| ISSN: | 1778-3569 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| Refereed: | Yes | ||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/26037 |
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