1 citations · 1 across the 4 of their papers we have counts for
4 papers
Computing Topological Invariants Using Fixed Points
Loring W. Tu
When a torus acts on a compact oriented manifold with isolated fixed points, the equivariant localization formula of Atiyah--Bott and Berline--Vergne converts the integral of an eq…
Equivariant Characteristic Classes
Loring W. Tu
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 (…
Gysin formulas and equivariant cohomology
Loring W. Tu
Under Poincaré duality, a smooth map of compact oriented manifolds induces a pushforward map in cohomology, called the "Gysin map." It plays an important role in enumerative geomet…
Lefschetz fixed point theorems for correspondences
Loring W. Tu
The classical Lefschetz fixed point theorem states that the number of fixed points, counted with multiplicity , of a smooth map from a manifold to itself can be calc…