On diffeomorphisms over non-orientable surfaces standardly embedded in the 4-sphere
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🧮 math.GT
keywords
embeddedsurfacediffeomorphismnon-orientablespherestandardlycloseddiffeomorphisms
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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.
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