Differential cohomology

Abstract

These course note first provide an introduction to secondary characteristic classes and differential cohomology. They continue with a presentation of a stable homotopy theoretic approach to the theory of differential extensions of generalized cohomology theories including products and Umkehr maps.

182 pages, more information added to Sec. 4.1

Cited by in corpus (3)

• Primary operations in differential cohomology
• Regulators and cycle maps in higher-dimensional differential algebraic K-theory
• Cheeger-Simons differential characters with compact support and Pontryagin duality