Geometry and Topology (440-3-41)

Instructors

John Francis

Meeting Info

Lunt Hall 104: Mon, Wed, Fri 10:00AM - 10:50AM

Overview of class

MATH 440-3 Geometry and Topology (1 Unit)

Differential forms and the de Rham complex. Orientation, integration, de Rham cohomology, Mayer-Vietoris, Poincare' duality. Singular homology and cohomology. Cohomolgy of cell complexes, simplicial cohomology, Cech cohomology. Cup product; sheaves.

Prerequisite: MATH 440-2.

Class Materials (Required)

No required materials.

Class Materials (Suggested)

978-0387906133
Differential Forms in Algebraic Topology
Authors: Bott, Tu
Publisher: Springer

Enrollment Requirements

Enrollment Requirements: Preregistration in this course is reserved for students who are majoring in Mathematics. Prerequisite: MATH 440-2