Equivariant Intersection Theory

William Fulton

University of Michigan, Fall 2005

The following are notes from William Fulton's course. For more up-to-date versions, look at the Eilenberg lectures page.

Warning: These notes are in rough form, and subject to change. If you find any errors (even typos), please let me know so we can fix them! The later sections (after Section 5) have particularly jagged edges...

Preview/Introduction

Section 1: Topological intersection theory (version of November 18, 2005)

Section 2: Chern classes (version of October 17, 2005)

Section 3: G-bundles (version of October 22, 2005)

Section 4: Equivariant cohomology (version of November 4, 2005)

Section 5: Equivariant Schubert calculus (version of December 26, 2005)

Section 6: More on localization (version of December 21, 2005)

Section 7: An equivariant Littlewood-Richardson rule (version of December 26, 2005)

Section 8: Equivariant cohomology of toric varieties (version of December 30, 2005)