Equivariant index theory and non-positively curved manifolds.
An elliptic differential operator D on a compact manifold M is a Fredholm operator. The only topological invariant for a Fredholm operator is the Fredholm index [Dou72], which is defined to be dim(kerD) − dim(cokerD). Fredholm index is a homotopy invariant. The Atiyah-Singer index theorem calculates...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en |
| Published: |
VANDERBILT
2007
|
| Subjects: | |
| Online Access: | http://etd.library.vanderbilt.edu/available/etd-04022007-140838/ |