The Dirac operator on collapsing S^1-bundles
arXiv:math/9812116
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.
11 pages, Latex2e, to appear in "Se'minaire de The'orie Spectrale et Ge'ome'trie" Institut Fourier, Grenoble, vol. 16, 1997-98