Logo

Lectures on Differential Topology

Small book cover: Lectures on Differential Topology

Lectures on Differential Topology
by

Publisher: arXiv.org
Number of pages: 416

Description:
This text is a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures. It covers advanced topics such as degree theory, the Poincare-Hopf index theorem, bordism-characteristic numbers, and the Pontryagin-Thom construction. This book is suitable for beginning master's and doctoral students who have completed an undergraduate mathematics curriculum.

Home page url

Download or read it online for free here:
Download link
(2.7MB, PDF)

Similar books

Book cover: Contact TopologyContact Topology
by - University of Texas at Austin
This is a course on contact manifolds, which are odd dimensional manifolds with an extra structure called a contact structure. Most of our study will focus on three dimensional manifolds, though many of these notions hold for any odd dimension.
(5920 views)
Book cover: Introduction to Symplectic and Hamiltonian GeometryIntroduction to Symplectic and Hamiltonian Geometry
by
The text covers foundations of symplectic geometry in a modern language. It describes symplectic manifolds and their transformations, and explains connections to topology and other geometries. It also covers hamiltonian fields and hamiltonian actions.
(16312 views)
Book cover: Differential Topology of Fiber BundlesDifferential Topology of Fiber Bundles
by - FAU Erlangen-Nuernberg
From the table of contents: Basic Concepts (The concept of a fiber bundle, Coverings, Morphisms...); Bundles and Cocycles; Cohomology of Lie Algebras; Smooth G-valued Functions; Connections on Principal Bundles; Curvature; Perspectives.
(11491 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.
(15942 views)