On diffeomorphisms over surfaces trivially embedded in the 4–sphere

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.

Keywords

knotted surface, mapping class group, spin mapping class group

Mathematical Subject Classification 2000

Primary: 57N10

Secondary: 57N05, 20F38

References

Forward citations

Publication

Received: 6 March 2002

Accepted: 4 September 2002

Published: 3 October 2002

Authors

Susumu Hirose
Department of Mathematics Faculty of Science and Engineering Saga University Saga 840-8502 Japan

Volume 2, issue 2 (2002)

Susumu Hirose