Generalized Chain Surgeries and Applications
Geometric Topology
2021-02-02 v2 Algebraic Geometry
Symplectic Geometry
Abstract
We describe the Stein handlebody diagrams of Milnor fibers of Brieskorn singularities . We also study the natural symplectic operation by exchanging two Stein fillings of the canonical contact structure on the links in the case , 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.
Cite
@article{arxiv.2006.03663,
title = {Generalized Chain Surgeries and Applications},
author = {Anar Akhmedov and Çağrı Karakurt and Sümeyra Sakallı},
journal= {arXiv preprint arXiv:2006.03663},
year = {2021}
}
Comments
Changes made following referee's suggestions. One reference and a few extra clarifying comments also added. To appear in Journal of Symplectic Geometry