A note on Stein fillings of contact manifolds

TL;DR

This paper constructs infinitely many distinct simply connected Stein fillings for a specific family of contact 3-manifolds, advancing understanding of their symplectic and contact topology.

Contribution

It introduces a method to generate infinitely many Stein fillings for a class of contact 3-manifolds, highlighting new possibilities in contact topology.

Findings

Infinite Stein fillings constructed for certain contact 3-manifolds

Distinctness of fillings demonstrated

Advances understanding of contact and symplectic topology

Abstract

In this note we construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3--manifolds.