We present a method for finding embedded nullhomologous tori in standard
4–manifolds which can be utilized to change their smooth structure. As an
application, we show how to obtain infinite families of simply connected smooth
4–manifolds with b+ = 1 and b− = 2,…,7, via surgery on nullhomologous tori
embedded in the standard manifolds C‘P2#kC‘P2, k = 2,…,7.