On diffeomorphisms over surfaces trivially embedded in the 4–sphere

2002/10/03 by Susumu Hirose · 1 citation
Mathematics · Physics and Astronomy · #Diffeomorphism #Geometric and Algebraic Topology #Geometry #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Pure mathematics #Quadratic equation #Quantum chaos and dynamical systems #Surface (topology) #math.GT #msc:20F38 #msc:57N05 #msc:57N10

paper · pdf · doi:10.2140/agt.2002.2.791

published as Algebr. Geom. Topol. 2 (2002) 791-824 · Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-33.abs.html

openalex publication_date 2002/10/03 · arxiv created 2002/11/01 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A surface in the 4-sphere is trivially embedded, if it bounds a 3dimensional handle body in the 4-sphere. For a surface trivially embedded in the 4-sphere, a diffeomorphism over this surface is extensible if and only if this preserves the Rokhlin quadratic form of this embedded surface.

Citations

• ON TWINS IN THE FOUR-SPHERE I

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