Generalized Chain Surgeries and Applications
arXiv:2006.03663
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.
Changes made following referee's suggestions. One reference and a few extra clarifying comments also added. To appear in Journal of Symplectic Geometry