AGT 2 (2002) Paper 33 (Abstract)

Algebraic and Geometric Topology 2 (2002), paper no. 33, pages 791-824.

On diffeomorphisms over surfaces trivially embedded in the 4-sphere

Susumu Hirose

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.

Keywords. Knotted surface, mapping class group, spin mapping class group

AMS subject classification. Primary: 57N10. Secondary: 57N05, 20F38.

DOI: 10.2140/agt.2002.2.791

E-print: arXiv:math.GT/0211019

Submitted: 6 March 2002. Accepted: 4 September 2002. Published: 3 October 2002.

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Susumu Hirose
Department of Mathematics, Faculty of Science and Engineering
Saga University, Saga, 840-8502 Japan.
Email: hirose@ms.saga-u.ac.jp

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