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