Algebraic & Geometric Topology

Surfaces in the complex projective plane and their mapping class groups

Susumu Hirose

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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

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

Received: 13 February 2005
Revised: 28 April 2005
Accepted: 31 May 2005
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57Q45: Knots and links (in high dimensions) {For the low-dimensional case, see 57M25}
Secondary: 57N05: Topology of $E^2$ , 2-manifolds 20F38: Other groups related to topology or analysis

knotted surface plane curve mapping class group spin mapping class group


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.

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