Hochschild cohomology of Sullivan algebras and mapping spaces between manifolds
| dc.contributor.author | Gatsinzi, J.B. | |
| dc.date.accessioned | 2024-08-19T07:46:48Z | |
| dc.date.available | 2024-08-19T07:46:48Z | |
| dc.date.issued | 2023-09-18 | |
| dc.description.abstract | Let e : Nn → Mm be an embedding of closed, ori- ented manifolds of dimension n and m respectively. We study the relationship between the homology of the free loop space LM on M and of the space LNM of loops of M based in N and define a shriek map H∗(e)! : H∗(LM, Q) → H∗(LNM, Q) using Hochschild cohomology and study its properties. In particular we extend a result of F ́elix on the injectivity of the map induced by aut1 M → map(N, M; f) on rational homotopy groups when M and N have the same dimension and f : N → M is a map of non zero degree. | en_US |
| dc.description.accessibility | unrestricted | en_US |
| dc.description.department | mss | en_US |
| dc.description.level | phd | en_US |
| dc.identifier.citation | Gatsinzi, J.B. (2023) Hochschild cohomology of Sullivan algebras and mapping spaces between manifolds. In Jamisola, Rodrigo S. Jr (ed.) Proceedings of BIUST Teaching, Research, and Innovation Symposium (TRDAIS),18-19 September 2023, Palapye, Botswana International University of Science and Technology, 3-11. | en_US |
| dc.identifier.issn | 2521-2293 | |
| dc.identifier.uri | https://repository.biust.ac.bw/handle/123456789/598 | |
| dc.language.iso | en | en_US |
| dc.publisher | Botswana International University of Science and Technology | en_US |
| dc.subject | Algebraic Topology | en_US |
| dc.subject | Mapping spaces | en_US |
| dc.title | Hochschild cohomology of Sullivan algebras and mapping spaces between manifolds | en_US |