Logo

Triangles, Rotation, a Theorem and the Jackpot

Small book cover: Triangles, Rotation, a Theorem and the Jackpot

Triangles, Rotation, a Theorem and the Jackpot
by

Publisher: arXiv
Number of pages: 43

Description:
This is an expository paper designed to introduce undergraduates to the Atiyah-Singer index theorem 50 years after its announcement. It includes motivation, a statement of the theorem, an outline of the easy part of the heat equation proof. It includes counting lattice points and knot concordance as applications.

Home page url

Download or read it online for free here:
Download link
(2.1MB, PDF)

Similar books

Book cover: Tight and Taut SubmanifoldsTight and Taut Submanifolds
by - Cambridge University Press
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.
(6441 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.
(7296 views)
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.
(4953 views)
Book cover: Comparison GeometryComparison Geometry
by - Cambridge University Press
This volume is an up-to-date panorama of Comparison Geometry, featuring surveys and new research. Surveys present classical and recent results, and often include complete proofs, in some cases involving a new and unified approach.
(6546 views)