A remark about weak fillings

Abstract

Let $L$ be a closed totally real submanifold of ${\mathbb{C}}^n$, $n\ge 2$, which is not Lagrangian. We observe that small enough tubular neighborhoods of $L$ give exotic examples of weak fillings of $S{T}^{\ast }L$ endowed with its standard contact structure.

10 pages. The referee's comments have been included

References in corpus (2)

• Weak and strong fillability of higher dimensional contact manifolds
• Four-dimensional symplectic cobordisms containing three-handles