AGT 5 (2005) Paper 25 (Abstract)

Algebraic and Geometric Topology 5 (2005), paper no. 25, pages 577-613.

Surfaces in the complex projective plane and their mapping class groups

Susumu Hirose

Abstract. 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.

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

AMS subject classification. Primary: 57Q45. Secondary: 57N05, 20F38.

E-print: arXiv:math.GT/0507078

DOI: 10.2140/agt.2005.5.577

Submitted: 13 February 2005. (Revised: 28 April 2005.) Accepted: 31 May 2005. Published: 30 June 2005.

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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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