Abstract
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.
Citation
Susumu Hirose. "On diffeomorphisms over surfaces trivially embedded in the 4–sphere." Algebr. Geom. Topol. 2 (2) 791 - 824, 2002. https://doi.org/10.2140/agt.2002.2.791
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