Logo

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

Small book cover: An introductory course in differential geometry and the Atiyah-Singer index theorem

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

Publisher: Binghamton University
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

Book cover: Geometric Wave EquationsGeometric Wave Equations
by - arXiv
We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.
(5013 views)
Book cover: Advances in Discrete Differential GeometryAdvances in Discrete Differential Geometry
by - 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.
(2143 views)
Book cover: Noncompact Harmonic ManifoldsNoncompact Harmonic Manifolds
by - arXiv
We provide a survey on recent results on noncompact simply connected harmonic manifolds, and we also prove many new results, both for general noncompact harmonic manifolds and for noncompact harmonic manifolds with purely exponential volume growth.
(3185 views)
Book cover: Projective Differential Geometry Old and NewProjective Differential Geometry Old and New
by - 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.
(12084 views)