Surface braid groups
This project explored the solution to the word problem of braids over the 2-sphere as presented in [15, Theorem 3.1], in the hopes that it can be related to Brunnian braids and homotopy groups of spheres as introduced via the exact sequence in [10, Theorem 1.2]. It describes the process of Artin com...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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Nanyang Technological University
2019
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| Online Access: | https://hdl.handle.net/10356/136492 |
| _version_ | 1826115757010845696 |
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| author | Jessica, Loh Sher En |
| author2 | Fedor Duzhin |
| author_facet | Fedor Duzhin Jessica, Loh Sher En |
| author_sort | Jessica, Loh Sher En |
| collection | NTU |
| description | This project explored the solution to the word problem of braids over the 2-sphere as presented in [15, Theorem 3.1], in the hopes that it can be related to Brunnian braids and homotopy groups of spheres as introduced via the exact sequence in [10, Theorem 1.2]. It describes the process of Artin combing as the original solution to the word problem for braids over the disc by Artin[4] and introduces a new interpretation to the map φ : Brunn+1(S2) → Brunn(D2) in the exact sequence. |
| first_indexed | 2024-10-01T04:00:22Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/136492 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-03-09T11:28:16Z |
| publishDate | 2019 |
| publisher | Nanyang Technological University |
| record_format | dspace |
| spelling | ntu-10356/1364922025-02-25T00:58:42Z Surface braid groups Jessica, Loh Sher En Fedor Duzhin School of Physical and Mathematical Sciences FDuzhin@ntu.edu.sg Science::Mathematics Science::Mathematics::Topology This project explored the solution to the word problem of braids over the 2-sphere as presented in [15, Theorem 3.1], in the hopes that it can be related to Brunnian braids and homotopy groups of spheres as introduced via the exact sequence in [10, Theorem 1.2]. It describes the process of Artin combing as the original solution to the word problem for braids over the disc by Artin[4] and introduces a new interpretation to the map φ : Brunn+1(S2) → Brunn(D2) in the exact sequence. Bachelor's degree 2019-12-19T08:58:57Z 2019-12-19T08:58:57Z 2019 Final Year Project (FYP) Jessica, L. S. E. (2019). Surface braid groups. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/136492 https://hdl.handle.net/10356/136492 en application/pdf Nanyang Technological University |
| spellingShingle | Science::Mathematics Science::Mathematics::Topology Jessica, Loh Sher En Surface braid groups |
| title | Surface braid groups |
| title_full | Surface braid groups |
| title_fullStr | Surface braid groups |
| title_full_unstemmed | Surface braid groups |
| title_short | Surface braid groups |
| title_sort | surface braid groups |
| topic | Science::Mathematics Science::Mathematics::Topology |
| url | https://hdl.handle.net/10356/136492 |
| work_keys_str_mv | AT jessicalohsheren surfacebraidgroups |