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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Nanyang Technological University
2019
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sg-ntu-dr.10356-1364922023-02-28T23:13:12Z Surface braid groups Loh, Jessica 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 of Science in Mathematical Sciences 2019-12-19T08:58:57Z 2019-12-19T08:58:57Z 2019 Final Year Project (FYP) https://hdl.handle.net/10356/136492 en application/pdf Nanyang Technological University |
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Science::Mathematics Science::Mathematics::Topology |
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Science::Mathematics Science::Mathematics::Topology Loh, Jessica Sher En Surface braid groups |
| 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. |
| author2 |
Fedor Duzhin |
| author_facet |
Fedor Duzhin Loh, Jessica Sher En |
| format |
Final Year Project |
| author |
Loh, Jessica Sher En |
| author_sort |
Loh, Jessica Sher En |
| title |
Surface braid groups |
| title_short |
Surface braid groups |
| title_full |
Surface braid groups |
| title_fullStr |
Surface braid groups |
| title_full_unstemmed |
Surface braid groups |
| title_sort |
surface braid groups |
| publisher |
Nanyang Technological University |
| publishDate |
2019 |
| url |
https://hdl.handle.net/10356/136492 |
| _version_ |
1759854399642927104 |