- Titel
- Homology products on Z2-quotients of free loop spaces of spheres
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-727979
- Datum der Einreichung
- 20.05.2020
- Datum der Verteidigung
- 21.10.2020
- Abstract (DE)
- We construct products on the homology of quotients by finite group actions of the free loop space ΛM of a compact manifold M. We compute some of the these products in the case M is as sphere. We show that there are nonnilpotent classes with respect to these products for spheres. The energy functional on ΛM associated to a Riemannian metric on M is invariant under the group actions we consider. We therefore retain information about geometrically distinct closed geodesics.
- Freie Schlagwörter (DE)
- Loop space homology, closed geodesics
- 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-qucosa2-727979
- Veröffentlichungsdatum Qucosa
- 13.11.2020
- Dokumenttyp
- Dissertation
- Sprache des Dokumentes
- Englisch
- Lizenz / Rechtehinweis
CC BY-NC-ND 4.0