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.

Notes on file formats

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

AGT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to