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Rational homology disk smoothings and Lefschetz fibrations

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대한수학회 (The Korean Mathematical Society)|2023.01|대한수학회지 (Journal of the KMS)|제60권 제1호|pp. 227-253|DOI 10.4134/JKMS.j220363

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참고문헌

키워드

Lefschetz fibrationrational homology disk smoothingrational blowdowns
주제분류수학

초록

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.

Abstract

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.

참고문헌 (20)

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