The Dirac operator on collapsing S^1-bundles
Differential Geometry
2007-05-23 v1 Spectral Theory
Abstract
We study the behavior of the spectrum of the Dirac operator on collapsing S^1-bundles. Convergent eigenvalues will exist if and only if the spin structure is projectable.
Keywords
Cite
@article{arxiv.math/9812116,
title = {The Dirac operator on collapsing S^1-bundles},
author = {Bernd Ammann},
journal= {arXiv preprint arXiv:math/9812116},
year = {2007}
}
Comments
11 pages, Latex2e, to appear in "Se'minaire de The'orie Spectrale et Ge'ome'trie" Institut Fourier, Grenoble, vol. 16, 1997-98