Surfaces in 4-manifolds and their mapping class groups

Susumu Hirose*, Akira Yasuhara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

A surface in a smooth 4-manifold is called flexible if, for any diffeomorphism φ{symbol} on the surface, there is a diffeomorphism on the 4-manifold whose restriction on the surface is φ{symbol} and which is isotopic to the identity. We investigate a sufficient condition for a smooth 4-manifold M to include flexible knotted surfaces, and introduce a local operation in simply connected 4-manifolds for obtaining a flexible knotted surface from any knotted surface.

Original languageEnglish
Pages (from-to)41-50
Number of pages10
JournalTopology
Volume47
Issue number1
DOIs
Publication statusPublished - 2008 Jan
Externally publishedYes

Keywords

  • 4-dimensional manifold
  • Knotted surface
  • Mapping class group

ASJC Scopus subject areas

  • Geometry and Topology

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