Rational homology disk smoothings and Lefschetz fibrations

Hakho Choi

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arXiv · 2212.14673

Rational homology disk smoothings and Lefschetz fibrations

Hakho Choi

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Abstract

In this article, we generalize the results discussed in [arXiv:1004.3762] 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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Hakho Choi. 2022-12-30. Rational homology disk smoothings and Lefschetz fibrations. https://arxiv.org/abs/2212.14673

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