Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism

129 páginas

Autores:
Alzate Lugo, Tomas
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2025
Institución:
Universidad EIA .
Repositorio:
Repositorio EIA .
Idioma:
spa
OAI Identifier:
oai:repository.eia.edu.co:11190/7134
Acceso en línea:
https://repository.eia.edu.co/handle/11190/7134
Palabra clave:
BV formalism
Homological Algebra
Graded Geometry
Gauge Theory
Rights
openAccess
License
Derechos Reservados - Universidad EIA, 2025
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dc.title.none.fl_str_mv Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
title Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
spellingShingle Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
BV formalism
Homological Algebra
Graded Geometry
Gauge Theory
title_short Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
title_full Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
title_fullStr Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
title_full_unstemmed Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
title_sort Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
dc.creator.fl_str_mv Alzate Lugo, Tomas
dc.contributor.advisor.none.fl_str_mv López Arcos, Cristhiam Manuel
dc.contributor.author.none.fl_str_mv Alzate Lugo, Tomas
dc.subject.proposal.eng.fl_str_mv BV formalism
Homological Algebra
Graded Geometry
Gauge Theory
topic BV formalism
Homological Algebra
Graded Geometry
Gauge Theory
description 129 páginas
publishDate 2025
dc.date.accessioned.none.fl_str_mv 2025-07-15T15:21:05Z
dc.date.available.none.fl_str_mv 2025-07-15T15:21:05Z
dc.date.issued.none.fl_str_mv 2025
dc.type.none.fl_str_mv Trabajo de grado - Pregrado
dc.type.coar.none.fl_str_mv http://purl.org/coar/resource_type/c_7a1f
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dc.identifier.uri.none.fl_str_mv https://repository.eia.edu.co/handle/11190/7134
url https://repository.eia.edu.co/handle/11190/7134
dc.language.iso.none.fl_str_mv spa
language spa
dc.rights.none.fl_str_mv Derechos Reservados - Universidad EIA, 2025
dc.rights.license.none.fl_str_mv Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Derechos Reservados - Universidad EIA, 2025
Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad EIA
dc.publisher.program.none.fl_str_mv Otro
dc.publisher.faculty.none.fl_str_mv Escuela de Ingeniería y Ciencias Básicas
dc.publisher.place.none.fl_str_mv Envigado (Antioquia, Colombia)
publisher.none.fl_str_mv Universidad EIA
institution Universidad EIA .
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spelling López Arcos, Cristhiam ManuelAlzate Lugo, Tomas2025-07-15T15:21:05Z2025-07-15T15:21:05Z2025https://repository.eia.edu.co/handle/11190/7134129 páginasABSTRACT: In this monograph, we review the mathematical foundations of the Batalin-Vilkovisky formalism for treating gauge systems, in the context of homological algebra and graded differential geometry. This formalism leads to an L∞-algebra that encodes all the information of a classical field theory: gauge symmetries, field content, equations of motion, and Noether identities. As illustrative examples, we present the Yang–Mills and Chern–Simons theoriesPregradoOtroapplication/pdfspaUniversidad EIAOtroEscuela de Ingeniería y Ciencias BásicasEnvigado (Antioquia, Colombia)Derechos Reservados - Universidad EIA, 2025Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalismTrabajo de grado - Pregradohttp://purl.org/coar/resource_type/c_7a1finfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/publishedVersionTexthttp://purl.org/redcol/resource_type/TPhttp://purl.org/coar/version/c_970fb48d4fbd8a85BV formalismHomological AlgebraGraded GeometryGauge TheoryPublicationORIGINALAlzateLugo_2025_HomologicalAspectsClassical.pdfAlzateLugo_2025_HomologicalAspectsClassical.pdfTrabajo de gradoapplication/pdf1138671https://repository.eia.edu.co/bitstreams/6465f7f1-9161-49d6-b204-9813efe7508f/download2b4ea6d103d104d353730e4801b10952MD57LICENSElicense.txtlicense.txttext/plain; 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