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

Abstract

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.

19 pages, 11 figures

References in corpus (2)

• On diffeomorphisms over surfaces trivially embedded in the 4-sphere
• Surfaces in the complex projective plane and their mapping class groups