# name
Twistor theory and gravitational instantons

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Ignasi Mundet i Riera

# metadata.dc.description.abstract[].value
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.

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cc-by-nc-nd (c) Alejandro Fernández Piqué, 2016

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Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.title[].value
Twistor theory and gravitational instantons