On diffeomorphisms over non-orientable surfaces standardly embedded in the 4-sphere

2011/09/08 by Susumu Hirose · 1 citation
Mathematics · #math.GT #msc:57Q45 #msc:57N05 #msc:20F38

paper · pdf · doi:10.2140/agt.2012.12.109

published as Algebr. Geom. Topol. 12 (2012) 109-130 · 19 pages, 11 figures

arxiv created 2011/09/08 · arxiv updated 2014/09/30

Abstract

For a non-orientable closed surface standardly embedded in the 4-sphere, a diffeomorphism over this surface is extendable if and only if this diffeomorphism preserves the Guillou-Marin quadratic form of this embedded surface.

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