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Twistor theory and gravitational instantons

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dc.contributor Mundet i Riera, Ignasi
dc.creator Fernández Piqué, Alejandro
dc.date 2017-03-22T09:11:42Z
dc.date 2017-03-22T09:11:42Z
dc.date 2016-06-27
dc.date.accessioned 2024-12-16T10:23:59Z
dc.date.available 2024-12-16T10:23:59Z
dc.identifier http://hdl.handle.net/2445/108742
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/16906
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Ignasi Mundet i Riera
dc.description The aim of this work is to understand and introduce a self-contained account of the construction of certain kind of gravitational instantons made by Hitchin in his work “Polygons and Gravitons”. Gravitational instantons are solutions of the Einstein equations which have a complete, non-singular and positive definite metric. Hitchin use twistor theory to construct these solutions. We present beforehand some concepts of self-duality, differential operators and connections to understand twistor theory. Afterwards, the construction of the aforementioned instantons is explained in full detail.
dc.format 51 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Alejandro Fernández Piqué, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Geometria algebraica
dc.subject Treballs de fi de grau
dc.subject Geometria de Riemann
dc.subject Equacions diferencials
dc.subject Física matemàtica
dc.subject Algebraic geometry
dc.subject Bachelor's theses
dc.subject Riemannian geometry
dc.subject Differential equations
dc.subject Mathematical physics
dc.title Twistor theory and gravitational instantons
dc.type info:eu-repo/semantics/bachelorThesis


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