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.
"Surfaces in the complex projective plane and their mapping class groups." Algebr. Geom. Topol. 5 (2) 577 - 613, 2005. https://doi.org/10.2140/agt.2005.5.577