The Dirac operator on collapsing S¹-bundles

1998/12/18 by Bernd Ammann
Mathematics · #math.DG #math.SP #msc:58G25 #msc:58G30 #msc:53C25

paper · pdf

published as Sém. Th. Spec. Géom Inst. Fourier Grenoble 16, 33-42 (1998) · 11 pages, Latex2e, to appear in "Se'minaire de The'orie Spectrale et Ge'ome'trie" Institut Fourier, Grenoble, vol. 16, 1997-98

arxiv created 1998/12/18 · arxiv updated 2009/11/30

Abstract

We study the behavior of the spectrum of the Dirac operator on collapsing S¹-bundles. Convergent eigenvalues will exist if and only if the spin structure is projectable.

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