## Algebraic & Geometric Topology

### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 5, Number 2 (2005), 577-613.

Dates
Revised: 28 April 2005
Accepted: 31 May 2005
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796423

Digital Object Identifier
doi:10.2140/agt.2005.5.577

Mathematical Reviews number (MathSciNet)
MR2153115

Zentralblatt MATH identifier
1092.57018

#### Citation

Hirose, Susumu. Surfaces in the complex projective plane and their mapping class groups. Algebr. Geom. Topol. 5 (2005), no. 2, 577--613. doi:10.2140/agt.2005.5.577. https://projecteuclid.org/euclid.agt/1513796423

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