• 충청수학회지
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• 제36권4호
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• pp.223-229
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• 2023

We prove that a rational homology disk smoothing of the singularity W_p,q,r is ℚ-Gorenstein by using its sandwiched structure.

• 대한수학회지
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• 제60권1호
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• pp.227-253
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• 2023

In this article, we generalize the results discussed in [6] by introducing a genus to generic fibers of Lefschetz fibrations. That is, we give families of relations in the mapping class groups of genus-1 surfaces with boundaries that represent rational homology disk smoothings of weighted homogeneous surface singularities whose resolution graphs are 3-legged with a bad central vertex.