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On Carvalho's  -theoretic formulation of the cobordism invariance of the index
Author:
Sergiu Moroianu
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3395-3404
MSC (2000):
Primary 58J20, 58J42
Posted:
May 11, 2006
MathSciNet review:
2231925
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Abstract: We give an analytic proof of the fact that the index of an elliptic operator on the boundary of a compact manifold vanishes when the principal symbol comes from the restriction of a  -theory class from the interior. The proof uses non-commutative residues inside the calculus of cusp pseudodifferential operators of Melrose.
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Additional Information
Sergiu Moroianu
Affiliation:
Institutul de Matematica al Academiei Române P.O. Box 1-764, RO-014700 Bucharest, Romania
Email:
moroianu@alum.mit.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08347-X
PII:
S 0002-9939(06)08347-X
Keywords:
Cusp pseudodifferential operators,
noncommutative residues
Received by editor(s):
November 19, 2004
Received by editor(s) in revised form:
May 11, 2005
Posted:
May 11, 2006
Additional Notes:
This research was partially supported by RTN HPRN-CT-2002-00280 ``Quantum Spaces -- Noncommutative Geometry'' and Marie Curie MERG 006375 funded by the European Commission, and by a CERES contract (2004)
Communicated by:
Mikhail Shubin
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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