Introducción a las descomposiciones de Heegaard y la homología de Heegaard-Floer.
dc.contributor.advisor | Toro Villegas, Margarita María | |
dc.contributor.author | Zapata Rendón, Sebastian | |
dc.date.accessioned | 2021-09-29T20:44:45Z | |
dc.date.available | 2021-09-29T20:44:45Z | |
dc.date.issued | 2021 | |
dc.description | ilustraciones | spa |
dc.description.abstract | Se estudia a fondo la construcción de las descomposiciones de Heegaard, haciendo énfasis en el por qué es una herramienta central en el estudio de las 3-variedades. Para esto, analizamos las 3-variedades desde las categorías topológica, suave y triángulable, en donde siempre podemos derivar el concepto de descomposición de Heegaard como algo arraigado a la 3-variedad misma. Luego de esto se explora uno de los invariantes de 3-variedades más recientes, la homología de Heegaard-Floer, centrándonos en la aparición de las descomposiciones de Heegaard en su construcción, sirviendo así como eje motivador para futuros proyectos. (Texto tomado de la fuente) | spa |
dc.description.abstract | The construction of Heegaard decompositions is studied in depth, emphasizing why it is a central tool in the study of 3-manifolds. For this, we analyze the 3-manifolds from the topological, smooth and triangular categories, where we can always derive the Heegaard decomposition concept as something rooted in the 3-manifold itself. After this, one of the most recent 3-manifold invariants is explored, the Heegaard-Floer homology, focusing on the appearance of Heegaard decompositions in its construction, and thus serving as a motivating axis for future projects. | eng |
dc.description.degreelevel | Maestría | spa |
dc.description.degreename | Magíster en Ciencias - Matemáticas | spa |
dc.format.extent | 83 páginas | spa |
dc.format.mimetype | application/pdf | spa |
dc.identifier.instname | Universidad Nacional de Colombia | spa |
dc.identifier.reponame | Repositorio Institucional Universidad Nacional de Colombia | spa |
dc.identifier.repourl | https://repositorio.unal.edu.co/ | spa |
dc.identifier.uri | https://repositorio.unal.edu.co/handle/unal/80340 | |
dc.language.iso | spa | spa |
dc.publisher | Universidad Nacional de Colombia | spa |
dc.publisher.branch | Universidad Nacional de Colombia - Sede Medellín | spa |
dc.publisher.department | Escuela de matemáticas | spa |
dc.publisher.faculty | Facultad de Ciencias | spa |
dc.publisher.place | Medellín, Colombia | spa |
dc.publisher.program | Medellín - Ciencias - Maestría en Ciencias - Matemáticas | spa |
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dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
dc.rights.license | Reconocimiento 4.0 Internacional | spa |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | spa |
dc.subject.ddc | 510 - Matemáticas | spa |
dc.subject.lemb | Variedades (Algebra universal) | spa |
dc.subject.lemb | Varieties (Universal algebra) | eng |
dc.subject.proposal | Heegaard-Floer | spa |
dc.subject.proposal | Heegaard-Floer | eng |
dc.subject.proposal | Descomposiciones de Heegaard | spa |
dc.subject.proposal | Heegaard splitting | eng |
dc.subject.proposal | 3 Variedades | spa |
dc.subject.proposal | 3 Manifolds | eng |
dc.subject.proposal | Cuerpos de asas | spa |
dc.subject.proposal | Handlebody | eng |
dc.subject.proposal | Complex curve | eng |
dc.subject.proposal | Complejo de curvas | spa |
dc.subject.proposal | Espacios lenticulares | spa |
dc.subject.proposal | Lens spaces | eng |
dc.title | Introducción a las descomposiciones de Heegaard y la homología de Heegaard-Floer. | spa |
dc.title.translated | Introduction to Heegaard splittings and Heegaard-Floer Homology. | eng |
dc.type | Trabajo de grado - Maestría | spa |
dc.type.coar | http://purl.org/coar/resource_type/c_bdcc | spa |
dc.type.coarversion | http://purl.org/coar/version/c_ab4af688f83e57aa | spa |
dc.type.content | Text | spa |
dc.type.driver | info:eu-repo/semantics/masterThesis | spa |
dc.type.redcol | http://purl.org/redcol/resource_type/TM | spa |
dc.type.version | info:eu-repo/semantics/acceptedVersion | spa |
dcterms.audience.professionaldevelopment | Investigadores | spa |
oaire.accessrights | http://purl.org/coar/access_right/c_abf2 | spa |
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