Keywords. Spin 4-manifold, spherical 3-manifold, Dirac operator
AMS subject classification. Primary: 57N13. Secondary: 57M50, 57M60.
Submitted: 18 July 2001. (Revised: 5 October 2001.) Accepted: 5 October 2001. Published: 14 October 2001.
Division of Mathematics, Faculty of Integrated Human Studies
Kyoto University, Kyoto, 606-8316, Japan
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