Stein fillable Seifert fibered 3-manifolds

TL;DR

This paper characterizes which Seifert fibered 3-manifolds can serve as boundaries of Stein manifolds and establishes the equivalence between Stein and symplectic fillability for these manifolds.

Contribution

It provides a complete characterization of Stein fillable Seifert fibered 3-manifolds and links Stein fillability to symplectic fillability within this class.

Findings

Characterization of Stein fillable Seifert fibered 3-manifolds

Equivalence of Stein and symplectic fillability for these manifolds

Identification of boundary conditions for Stein fillings

Abstract

We characterize the closed, oriented, Seifert fibered 3-manifolds which are oriented boundaries of Stein manifolds. We also show that for this class of 3-manifolds the existence of Stein fillings is equivalent to the existence of symplectic fillings.