Index in K-theory for families of fibred cusp operators
Differential Geometry
2007-05-23 v2 K-Theory and Homology
Abstract
A families index theorem in K-theory is given for the setting of Atiyah, Patodi and Singer of a family of Dirac operators with spectral boundary condition. This result is deduced from such a K-theory index theorem for the calculus of cusp, or more generally fibred cusp, pseudodifferential operators on the fibres (with boundary) of a fibration; a version of Poincare duality is also shown in this setting, identifying the stable Fredholm families with elements of a bivariant K-group.
Keywords
Cite
@article{arxiv.math/0507590,
title = {Index in K-theory for families of fibred cusp operators},
author = {Richard B. Melrose and Frederic Rochon},
journal= {arXiv preprint arXiv:math/0507590},
year = {2007}
}
Comments
64 pages, corrected typos