The Dirac operator on collapsing S^1-bundles

Details The Dirac operator on collapsing S^1-bundles The Dirac operator on collapsing S^1-bundles

1998-12-18

arxiv.org/abs/math/9812116v1

S\'em. Th. Spec. G\'eom Inst. Fourier Grenoble 16, 33-42 (1998)

Mathematics

Differential Geometry

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

Scientific paper

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.

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