Higher-dimensional contact manifolds with infinitely many Stein fillings

2016/08/04 by Takahiro Oba, Oba, Takahiro
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1608.01427

openalex publication_date 2016/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For any integer n≥ 2, we construct an infinite family of Stein fillable contact (4n-1)-manifolds each of which admits infinitely many pairwise homotopy inequivalent Stein fillings.

Citations

• Symplectic manifolds with contact type boundaries

Related

• A note on Stein fillings of contact manifolds
• Planar contact 3-manifolds with infinitely many Stein fillings
• Infinitely many small exotic Stein fillings
• A note on contact manifolds with infinite fillings
• Families of contact 3-manifolds with arbitrarily large Stein fillings