E-Thesis 92 views 31 downloads
Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry / JAMES BLAKE
Swansea University Author: JAMES BLAKE
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Copyright: The Author, James E. Blake, 2024 Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0)
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DOI (Published version): 10.23889/SUThesis.67590
Abstract
This is a thesis in noncommutative differential geometry. Equipping algebras with differential calculi, we propose noncommutative differential equivalents of some concepts from topology: submanifolds and fibre bundles. Further, we consider some ideas towardsnoncommutative versions of cofibrations an...
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Swansea University, Wales, UK
2024
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| Institution: | Swansea University |
| Degree level: | Doctoral |
| Degree name: | Ph.D |
| Supervisor: | Beggs, E. J. |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa67590 |
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| Abstract: |
This is a thesis in noncommutative differential geometry. Equipping algebras with differential calculi, we propose noncommutative differential equivalents of some concepts from topology: submanifolds and fibre bundles. Further, we consider some ideas towardsnoncommutative versions of cofibrations and retracts. We also give a new diagrammatic calculus on Temperley-Lieb algebras. |
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| Keywords: |
Mathematics, Noncommutative differential geometry |
| College: |
Faculty of Science and Engineering |
| Funders: |
EPSRC doctoral training grant |