Homology products on Z2-quotients of free loop spaces of spheres
| Autor: | Kupper, Philippe |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Text<br />Doctoral Thesis |
| Popis: | 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. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
| Externí odkaz: |
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