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tfg_llado_duran_marc.pdf (489.45 KB)

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Bachelor thesis

Publication date

2023-01-24

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cc-by-nc-nd (c) Marc Lladó Duran, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/198705

Introduction to complex geometry and Calabi-Yau manifolds motivated by physics

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[en] In this work, we give an introduction to complex geometry and Calabi-Yau manifolds. We begin by recalling the necessary background of differential geometry, as well as defining the de Rahm cohomology and the Ricci curvature. Then we turn to complex geometry, giving some precise examples, extending differential forms to the complex case and defining Dolbeault cohomology, Chern classes and holonomy. We then focus on Kähler manifolds, which are the previous steps to define Calabi-Yau manifolds, whose properties will be briefly studied. We close the work with a few ideas of a basic string theory model.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Joana Cirici

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Àlgebra homològica, Treballs de fi de grau, Geometria algebraica, Varietats de Calabi-Yau, Geometria diferencial

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Homological algebra, Bachelor's theses, Algebraic geometry, Calabi-Yau manifolds, Differential geometry

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

LLADÓ DURAN, Marc. Introduction to complex geometry and Calabi-Yau manifolds motivated by physics. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/198705

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