Keywords. Knotted surface, mapping class group, spin mapping class group
AMS subject classification. Primary: 57N10. Secondary: 57N05, 20F38.
Submitted: 6 March 2002. Accepted: 4 September 2002. Published: 3 October 2002.
Department of Mathematics, Faculty of Science and Engineering
Saga University, Saga, 840-8502 Japan.
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