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Abstract
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A surface in the 4–sphere is trivially embedded, if it bounds a 3–dimensional handle
body in the 4–sphere. For a surface trivially embedded in the 4–sphere, a
diffeomorphism over this surface is extensible if and only if this preserves the Rokhlin
quadratic form of this embedded surface.
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Keywords
knotted surface, mapping class group, spin mapping class
group
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Mathematical Subject Classification 2000
Primary: 57N10
Secondary: 57N05, 20F38
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Publication
Received: 6 March 2002
Accepted: 4 September 2002
Published: 3 October 2002
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