**Lectures on Calabi-Yau and Special Lagrangian Geometry**

by Dominic Joyce

**Publisher**: arXiv 2002**Number of pages**: 58

**Description**:

This paper gives a leisurely introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by a survey of recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.

Download or read it online for free here:

**Download link**

(570KB, PDF)

## Similar books

**Exterior Differential Systems**

by

**Robert L. Bryant, et al.**-

**MSRI**

An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. This book gives a treatment of exterior differential systems. It includes both the theory and applications.

(

**1422**views)

**Lectures on Fibre Bundles and Differential Geometry**

by

**J.L. Koszul**-

**Tata Institute of Fundamental Research**

From the table of contents: Differential Calculus; Differentiable Bundles; Connections on Principal Bundles; Holonomy Groups; Vector Bundles and Derivation Laws; Holomorphic Connections (Complex vector bundles, Almost complex manifolds, etc.).

(

**5269**views)

**Advances in Discrete Differential Geometry**

by

**Alexander I. Bobenko (ed.)**-

**Springer**

This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics.

(

**1633**views)

**Notes on Symmetric Spaces**

by

**Jonathan Holland, Bogdan Ion**-

**arXiv**

Contents: Affine connections and transformations; Symmetric spaces; Orthogonal symmetric Lie algebras; Examples; Noncompact symmetric spaces; Compact semisimple Lie groups; Hermitian symmetric spaces; Classification of real simple Lie algebras.

(

**3439**views)