Topological Quantum Field Theories from Spherical Fusion Categories

dc.contributorBressler, Paul
dc.contributorPlavnik, Julia
dc.contributorGalindo Martínez, César Neyit
dc.creatorRuiz Pineda, Felipe Fernando
dc.date.accessioned2023-07-13T13:18:46Z
dc.date.accessioned2023-09-07T01:19:56Z
dc.date.available2023-07-13T13:18:46Z
dc.date.available2023-09-07T01:19:56Z
dc.date.created2023-07-13T13:18:46Z
dc.date.issued2022-12-06
dc.identifierhttp://hdl.handle.net/1992/68389
dc.identifierinstname:Universidad de los Andes
dc.identifierreponame:Repositorio Institucional Séneca
dc.identifierrepourl:https://repositorio.uniandes.edu.co/
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8728274
dc.description.abstractThe main topic of this work is the Turaev-Viro construction of a 3-dimensopnal topological quantum field theory (TQFT). We begin by giving a description of spherical fusion categories an it's associated graphical calculus. Then, with a given spherical fusion category, we construct the Turaev-Viro TQFT on triangulated manifolds by labeling the triangulation and using the graphical calculus to assign either a morphism vector space or a given morphism in said space. Lastly, we construct two classes of examples of spherical fusion categories which appear from finite depth subfactors and planar algebras.
dc.languageeng
dc.publisherUniversidad de los Andes
dc.publisherMaestría en Matemáticas
dc.publisherFacultad de Ciencias
dc.publisherDepartamento de Matemáticas
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dc.rightsAtribución-NoComercial-CompartirIgual 4.0 Internacional
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.titleTopological Quantum Field Theories from Spherical Fusion Categories
dc.typeTrabajo de grado - Maestría


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