J. Korean Math. Soc. 2023; 60(1): 227-253
Online first article December 14, 2022 Printed January 1, 2023
https://doi.org/10.4134/JKMS.j220363
Copyright © The Korean Mathematical Society.
Hakho Choi
Seoul National University
In this article, we generalize the results discussed in \cite{MR2783383} 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.
Keywords: Lefschetz fibration, rational homology disk smoothing, rational blowdowns
MSC numbers: 57K43, 53D05, 14J17
Supported by: The author is supported by a KIAS Individual Grant (MG071002) at Korea Institute for Advanced Study.
2017; 54(2): 545-561
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