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On diffeomorphisms over nonorientable surfaces standardly embedded in the 4–sphere
2012
Algebraic and Geometric Topology
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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.
doi:10.2140/agt.2012.12.109
fatcat:z3mdqi7fanc4dmhjreapaf2lrm