On diffeomorphisms over surfaces trivially embedded in the 4-sphere
نویسنده
چکیده
A surface in the 4-sphere is trivially embedded, if it bounds a 3dimensional 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. AMS Classification 57N10; 57N05, 20F38
منابع مشابه
Surfaces in the complex projective plane and their mapping class groups
An orientation preserving diffeomorphism over a surface embedded in a 4-manifold is called extendable, if this diffeomorphism is a restriction of an orientation preserving diffeomorphism on this 4-manifold. In this paper, we investigate conditions for extendability of diffeomorphisms over surfaces in the complex projective plane. AMS Classification 57Q45; 57N05, 20F38
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