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

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

2011-09-08

arxiv.org/abs/1109.1668v1

Mathematics

Geometric Topology

19 pages, 11 figures

Scientific paper

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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