A homology plane is an algebraic complex smooth surface with the same integral homology groups as the complex plane. A Mazur type manifold is a compact contractible smooth (real) 4-manifold built only with 0-,1- and 2- handles. We call a homology 3-sphere a Kirby-Ramanujam sphere if it bounds both a homology plane and a Mazur type manifold. In this talk, we present several infinite families of Kirby-Ramanujam spheres and some related topics if time permits. Such an interplay between complex surfaces and 4-manifolds was first observed by C. P. Ramanujam and R. Kirby. This is joint work with Oğuz Şavk.