Equivariant Characteristic Classes
Loring W. Tu
TL;DR
This paper comments on the influential work of Bott and Tu regarding equivariant characteristic classes, discussing its origins, impact, and current research status in the field.
Contribution
It provides a detailed commentary on the development and significance of equivariant characteristic classes in differential geometry.
Findings
Highlights the historical development of equivariant characteristic classes
Discusses the influence of Bott and Tu's work on current research
Summarizes the current open problems and research directions
Abstract
This is a commentary on Raoul Bott and Loring Tu's joint article "Equivariant characteristic classes in the Cartan model," which appeared in "Geometry, Analysis, and Applications (Varanasi, 2000)," World Scientif Publishing, River Edge, NJ, 3--20. The article is also included in "Raoul Bott: Collected Papers," Vol. 5. The commentary discusses the genesis of the article, its influence, and the current state of the problem concerning equivariant characteristic classes.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Differential Geometry Research · Advanced Topics in Algebra