The Dirac operator on collapsing S¹-bundles
classification
🧮 math.DG
math.SP
keywords
bundlescollapsingdiracoperatorbehaviorconvergenteigenvaluesexist
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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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