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IMMERSED SPHERES IN 4-MANIFOLDS AND THE IMMERSED THOM CONJECTURE

The introduction of the Seiberg Witten monopole equations ([SW1],[SW2],[W]) has served to make the study of smooth 4-manifolds more accessible. Many of the important earlier theorems regarding Donaldson invariants of smooth 4-manifolds have more easily proven analogues in SeibergWitten theory [J]. Further, new fundamental results have quickly appeared, most notably the proof of the Thom conjecture [KM], the verification of the nontriviality of the Seiberg-Witten invariants for symplectic manifolds [T1], and the results of C. Taubes which relate Seiberg-Witten invariants with the theory of pseudo-holomorphic curves and certain Gromov invariants for symplectic manifolds ([T2],[T3]).