Logo

Notes on the Atiyah-Singer Index Theorem

Small book cover: Notes on the Atiyah-Singer Index Theorem

Notes on the Atiyah-Singer Index Theorem
by

Publisher: University of Notre Dame
Number of pages: 135

Description:
This is arguably one of the deepest and most beautiful results in modern geometry, and it is surely a must know for any geometer / topologist. It has to do with elliptic partial differential operators on a compact manifold.

Home page url

Download or read it online for free here:
Download link
(860KB, PDF)

Similar books

Book cover: Introduction to Homological GeometryIntroduction to Homological Geometry
by - arXiv
This is an introduction to some of the analytic aspects of quantum cohomology. The small quantum cohomology algebra, regarded as an example of a Frobenius manifold, is described without going into the technicalities of a rigorous definition.
(6397 views)
Book cover: Ricci Flow and the Poincare ConjectureRicci Flow and the Poincare Conjecture
by - American Mathematical Society
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.
(9135 views)
Book cover: Discrete Differential Geometry: An Applied IntroductionDiscrete Differential Geometry: An Applied Introduction
by - Columbia University
This new and elegant area of mathematics has exciting applications, as this text demonstrates by presenting practical examples in geometry processing (surface fairing, parameterization, and remeshing) and simulation (of cloth, shells, rods, fluids).
(11041 views)
Book cover: Projective and Polar SpacesProjective and Polar Spaces
by - 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.
(8648 views)