Generalized Chain Surgeries and Applications

Anar Akhmedov; Çağrı Karakurt; Sümeyra Sakallı

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arXiv · 2006.03663

Generalized Chain Surgeries and Applications

Anar Akhmedov·Çağrı Karakurt·Sümeyra Sakallı

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Abstract

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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BibTeX RIS

Anar Akhmedov, Çağrı Karakurt, Sümeyra Sakallı. 2020-06-05. Generalized Chain Surgeries and Applications. https://arxiv.org/abs/2006.03663

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