On diffeomorphisms over surfaces trivially embedded in the 4-sphere

Susumu Hirose

doi:10.2140/agt.2002.2.791

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On diffeomorphisms over surfaces trivially embedded in the 4-sphere

Susumu Hirose

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Abstract

A surface in the 4-sphere is trivially embedded, if it bounds a 3-dimensional 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.

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Susumu Hirose. 2002-11-01. On diffeomorphisms over surfaces trivially embedded in the 4-sphere. https://doi.org/10.2140/agt.2002.2.791

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