广义连锁手术及其应用

Pub Date : 2020-06-05 DOI:10.4310/jsg.2021.v19.n5.a1

Anar Akhmedov, cCaugri Karakurt, Sumeyra Sakalli

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引用次数: 0

摘要

我们描述了Brieskorn奇点(x^p + y^q + z^r = 0)的Milnor纤维的Stein柄体图。在p = q = r$的情况下，我们通过交换两个正则接触结构的Stein填充来研究自然辛运算，其中一个填充来自最小分辨率，另一个是Milnor纤维。我们对这个操作给出了两种不同的解释，一种是辛和，另一种是Lefschetz振动中的单变量替换。

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Generalized chain surgeries and applications

We describe the Stein handlebody diagrams of Milnor fibers of Brieskorn singularities $x^p + y^q + z^r = 0$. We also study the natural symplectic operation by exchanging two Stein fillings of the canonical contact structure on the links in the case $p = q = r$, where one of the fillings comes from the minimal resolution and the other is the Milnor fiber. We give two different interpretations of this operation, one as a symplectic sum and the other as a monodromy substitution in a Lefschetz fibration.

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