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Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry / JAMES BLAKE

Swansea University Author: JAMES BLAKE

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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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Published: Swansea University, Wales, UK 2024
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Beggs, E. J.
URI: https://cronfa.swan.ac.uk/Record/cronfa67590
first_indexed 2024-09-05T11:49:02Z
last_indexed 2024-11-25T14:20:27Z
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spelling 2024-09-05T13:02:28.4578474 v2 67590 2024-09-05 Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry a3cb2c3bf371160e63e9466f2dd721b5 JAMES BLAKE JAMES BLAKE true false 2024-09-05 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. E-Thesis Swansea University, Wales, UK Mathematics, Noncommutative differential geometry 30 7 2024 2024-07-30 10.23889/SUThesis.67590 COLLEGE NANME COLLEGE CODE Swansea University Beggs, E. J. Doctoral Ph.D EPSRC doctoral training grant EPSRC doctoral training grant 2024-09-05T13:02:28.4578474 2024-09-05T12:07:30.1601677 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics JAMES BLAKE 1 67590__31268__b804633439dc4aabb6839dfba50d6c95.pdf 2024_Blake_J.67590.final.pdf 2024-09-05T12:48:06.4549902 Output 3161792 application/pdf E-Thesis – open access true Copyright: The Author, James E. Blake, 2024 Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0) true eng https://creativecommons.org/licenses/by/4.0/
title Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry
spellingShingle Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry
JAMES BLAKE
title_short Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry
title_full Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry
title_fullStr Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry
title_full_unstemmed Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry
title_sort Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry
author_id_str_mv a3cb2c3bf371160e63e9466f2dd721b5
author_id_fullname_str_mv a3cb2c3bf371160e63e9466f2dd721b5_***_JAMES BLAKE
author JAMES BLAKE
author2 JAMES BLAKE
format E-Thesis
publishDate 2024
institution Swansea University
doi_str_mv 10.23889/SUThesis.67590
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description 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.
published_date 2024-07-30T08:28:23Z
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score 11.047544

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