대한수학회지 (Journal of the Korean Mathematical Society)

  • 제60권1호
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  • Pages.227-253
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  • 2023
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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RATIONAL HOMOLOGY DISK SMOOTHINGS AND LEFSCHETZ FIBRATIONS

  • Hakho Choi (Center for Quantum Structures in Modules and Spaces Seoul National University)
  • 투고 : 2022.07.19
  • 심사 : 2022.11.08
  • 발행 : 2023.01.01
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초록

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.

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참고문헌

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