A study of complex surface singularities with rational homology sphere links

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For splice quotient singularities, which form an important class of complex surface singularities with rational homology sphere links, we obtained new results on determining if fundamental analytic invariants such as the embedding dimension, the multiplicity, and the geometric genus are topological, and on a method to compute these invariants explicitly. We also obtained an additivity formula for the geometric genus for a class larger than that of splice quotient singularities.