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http://hdl.handle.net/2445/199120
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DC Field | Value | Language |
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dc.contributor.advisor | Gutiérrez Marín, Javier J. | - |
dc.contributor.author | Sánchez Salazar, Jaime Leonardo | - |
dc.date.accessioned | 2023-06-13T06:34:42Z | - |
dc.date.available | 2023-06-13T06:34:42Z | - |
dc.date.issued | 2023-01-24 | - |
dc.identifier.uri | http://hdl.handle.net/2445/199120 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Javier J. Gutiérrez Marín | ca |
dc.description.abstract | [en] Braid theory was first formally introduced by Emil Artin in the 1920s as a way to study the topology of knots. Since then, braid groups have been the subject of extensive research, leading to a wealth of results and applications. The main objective of this work is to understand what braids are in their entirety, first giving a geometric description of them and then an algebraic one. These two descriptions allow us to relate braids to other branches of mathematics that, a priori, may seem unrelated. With this, we introduce the existing connection between configuration spaces and braid group, which will allow us to demonstrate that any braid, as an element of a group, has infinite order. Finally we give another view of braids by relating them to the mapping class groups. | ca |
dc.format.extent | 48 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Jaime Leonardo Sánchez Salazar, 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Grups finits | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Teoria de grups | ca |
dc.subject.classification | Topologia de baixa dimensió | ca |
dc.subject.classification | Topologia algebraica | ca |
dc.subject.other | Finite groups | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Group theory | en |
dc.subject.other | Low-dimensional topology | en |
dc.subject.other | Algebraic topology | en |
dc.title | El grup de trenes i espais de configuracions | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_sanchez_salazar_jaime_leonardo.pdf | Memòria | 662.83 kB | Adobe PDF | View/Open |
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