Elliptic Operators and Higher Signatures
Differential Geometry
2016-09-07 v1 K-Theory and Homology
Operator Algebras
Abstract
Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov's higher signatures on closed manifolds; - the problem of cut-and-paste invariance of Novikov's higher signatures on closed manifolds; - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.
Cite
@article{arxiv.math/0406020,
title = {Elliptic Operators and Higher Signatures},
author = {Eric Leichtnam and Paolo Piazza},
journal= {arXiv preprint arXiv:math/0406020},
year = {2016}
}
Comments
54 pages. Survey-article. Related papers can be retrieved from http://www.mat.uniroma1.it/people/piazza