• Title/Summary/Keyword: rational blowdowns

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RATIONAL HOMOLOGY DISK SMOOTHINGS AND LEFSCHETZ FIBRATIONS

  • Hakho Choi
    • Journal of the Korean Mathematical Society
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    • v.60 no.1
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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.