Mathematics – K-Theory and Homology
Scientific paper
2002-11-11
Operator Theory: Advances and Applications, 151, 2004, 170-238
Mathematics
K-Theory and Homology
uses amsproc and xypic. 67 pages and 3 figures. See also http://users.math.uni-potsdam.de/~savin
Scientific paper
In this paper, we survey recent results on index defects of elliptic operators on manifolds with boundary. Index defects are similar to the Hirzebruch signature defects in topology, where the defects appear as the correction terms to the signature formula on manifolds with boundary. For some natural classes of elliptic operators, the index defects are found and the corresponding topological indices are computed. The theory is illustrated on two examples: operators satisfying Gilkey's parity condition and operators on twisted Z_n-manifolds. The index defect formula in the latter case is stated in the framework of noncommutative geometry.
Savin Yu. A.
Sternin Yu. B.
No associations
LandOfFree
Index defects in the theory of spectral boundary value problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Index defects in the theory of spectral boundary value problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Index defects in the theory of spectral boundary value problems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-28429