Surfaces in the complex projective plane and their mapping class groups

Hirose, Susumu

doi:10.2140/agt.2005.5.577

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Surfaces in the complex projective plane and their mapping class groups

Susumu Hirose

Algebraic & Geometric Topology 5 (2005) 577–613

DOI: 10.2140/agt.2005.5.577

arXiv: math.GT/0507078

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

Mathematical Subject Classification 2000

Primary: 57Q45

Secondary: 57N05, 20F38

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Publication

Received: 13 February 2005

Revised: 28 April 2005

Accepted: 31 May 2005

Published: 30 June 2005

Authors

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

Volume 5, issue 2 (2005)