Lectures on complex geometry, Calabi-Yau manifolds and toric geometry
by Vincent Bouchard
Publisher: arXiv 2007
Number of pages: 63
Description:
These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds. The last section provides a short introduction to toric geometry.
Download or read it online for free here:
Download link
(530KB, PDF)
Similar books
![Book cover: Geometry of Quantum Mechanics](images/3693.jpg)
by Ingemar Bengtsson - Stockholms universitet, Fysikum
These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.
(14337 views)
![Book cover: An Introduction to Noncommutative Spaces and their Geometry](images/4734.jpg)
by Giovanni Landi - arXiv
These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists.
(12873 views)
![Book cover: Geometry, Topology and Physics](images/5274.jpg)
by Maximilian Kreuzer - Technische Universitat Wien
From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.
(18081 views)
![Book cover: Geometry and Topology in Electronic Structure Theory](images/7560.jpg)
by Raffaele Resta - University of Trieste
From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.
(11713 views)