Surfaces in the complex projective plane and their mapping class groups

Hirose, Susumu¹

¹Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga, 840-8502 Japan

Algebraic and Geometric Topology, Tome 5 (2005) no. 2, pp. 577-613

Résumé

An orientation preserving diffeomorphism over a surface embedded in a 4–manifold is called extendable, if this diffeomorphism is a restriction of an orientation preserving diffeomorphism on this 4–manifold. In this paper, we investigate conditions for extendability of diffeomorphisms over surfaces in the complex projective plane.

Détail

DOI : 10.2140/agt.2005.5.577

Keywords: knotted surface, plane curve, mapping class group, spin mapping class group

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