Geodesic
On diffeomorphisms over surfaces trivially embedded in the 4–sphere
Hirose, Susumu1
1Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga, 840-8502 Japan
Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 791-824
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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.

DOI : 10.2140/agt.2002.2.791
Keywords: knotted surface, mapping class group, spin mapping class group

Hirose, Susumu  1

1 Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga, 840-8502 Japan 
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Hirose, Susumu. On diffeomorphisms over surfaces trivially embedded in the 4–sphere. Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 791-824. doi: 10.2140/agt.2002.2.791

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