The Dirac operator on collapsing S^1-bundles

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.

arXiv comment11 pages, Latex2e, to appear in "Se'minaire de The'orie Spectrale et Ge'ome'trie" Institut Fourier, Grenoble, vol. 16, 1997-98

References in corpus (1)

• A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus

Cited by in corpus (4)

• Part I, Free Actions of Compact Abelian Groups on C*-Algebras
• Lifting spectral triples to noncommutative principal bundles
• The Dirac operator on generalized Taub-NUT spaces
• A lift of the Seiberg-Witten equations to Kaluza-Klein 5-manifolds