- AutorIn
- Odette Sylvia Yaptieu Djeungue
- Titel
- Generalizations of discrete Morse theory
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-171044
- Datum der Einreichung
- 29.06.2017
- Datum der Verteidigung
- 17.01.2018
- Abstract (EN)
- We generalize Forman’s discrete Morse theory, on one end by developing a discrete analogue of Morse-Bott theory for CW complexes, motivated by Morse-Bott theory in the smooth setting. On the other, motivated by J-N. Corvellec’s Morse theory for continuous functionals, we generalize Forman’s discrete Morse-floer theory by considering a vector field more general than the one extracted from a discrete Morse function, and defining a boundary operator from which the Betti numbers of the CW complex are obtained. We also do some Conley theory analysis.
- Freie Schlagwörter (EN)
- Discrete Morse theory, Floer theory, Morse-Bott theory, Conley theory, CW complexes, Betti numbers.
- Klassifikation (DDC)
- 500
- Den akademischen Grad verleihende / prüfende Institution
- Universität Leipzig, Leipzig
- Version / Begutachtungsstatus
- angenommene Version / Postprint / Autorenversion
- URN Qucosa
- urn:nbn:de:bsz:15-qucosa2-171044
- Veröffentlichungsdatum Qucosa
- 02.02.2018
- Dokumenttyp
- Dissertation
- Sprache des Dokumentes
- Englisch