| |
|
Jeffrey Fox and Peter Haskell
The Atiyah-Patodi-Singer theorem for perturbed Dirac operators on even-dimensional manifolds with bounded geometry
|
|
| Published: |
June 30, 2005
|
| Keywords: |
Atiyah-Patodi-Singer theorem, eta invariant, perturbed Dirac operator, heat expansion |
| Subject: |
58J20, 58J28, 58J32, 58J35 |
|
|
Abstract
This paper establishes conditions under which one can prove an
Atiyah-Patodi-Singer index theorem for perturbed Dirac operators on
complete noncompact even-dimensional manifolds with boundary. This
index theorem introduces into index theory spectral invariants of
self-adjoint perturbed Dirac operators on noncompact manifolds.
|
|
| Acknowledgements
Jeffrey Fox's work was supported by the National Science Foundation. Peter Haskell's work was supported by the National Science Foundation under Grant No. DMS-9800782.
|
|
| Author information
Jeffrey Fox:
Mathematics Department, University of Colorado, Boulder, CO 80309-0395
jfox@euclid.colorado.edu
Peter Haskell:
Mathematics Department, Virginia Tech, Blacksburg, VA 24061-0123
haskell@math.vt.edu
|
|
