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For 5 ⩽  k  ⩽ 8, we show that an infinite family of exotic smooth structures onCP   2      #  kCP   ¯    2can be obtained by 1/ n ‐surgeries on a single embedded nullhomologous torus in a manifold  R k   which is homeomorphic to  CP  2 # kCP   2      #  kCP   ¯    2    .

Surgery on nullhomologous tori and simply connected 4‐manifolds with b + = 1