**An introductory course in differential geometry and the Atiyah-Singer index theorem**

by Paul Loya

**Publisher**: Binghamton University 2005**Number of pages**: 137

**Description**:

This is a lecture-based class on the celebrated Atiyah-Singer index theorem, proved in the 60's by Sir Michael Atiyah and Isadore Singer. Their work on this theorem lead to a joint Abel prize in 2004. Requirements: Knowledge of topology and manifolds.

*This document is no more available for free.*

## Similar books

**Projective and Polar Spaces**

by

**Peter J. Cameron**-

**Queen Mary College**

The author is concerned with the geometry of incidence of points and lines, over an arbitrary field, and unencumbered by metrics or continuity (or even betweenness). The treatment of these themes blends the descriptive with the axiomatic.

(

**7406**views)

**Functional Differential Geometry**

by

**Gerald Jay Sussman, Jack Wisdom**-

**MIT**

Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.

(

**7009**views)

**Principles of Differential Geometry**

by

**Taha Sochi**-

**viXra**

A collection of notes about differential geometry prepared as part of tutorials about topics and applications related to tensor calculus. They can be used as a reference for a first course on the subject or as part of a course on tensor calculus.

(

**1802**views)

**Projective Differential Geometry Old and New**

by

**V. Ovsienko, S. Tabachnikov**-

**Cambridge University Press**

This book provides a route for graduate students and researchers to contemplate the frontiers of contemporary research in projective geometry. The authors include exercises and historical comments relating the basic ideas to a broader context.

(

**12319**views)