Exactly fillable contact structures without Stein fillings

Abstract

We give examples of contact structures which admit exact symplectic fillings, but no Stein fillings, answering a question of Ghiggini.

6 pages; Erroneous Lemma 2.7 removed and Section 2 shortened significantly; updated references and other minor edits (to appear in Algebr. Geom. Topol.)

References in corpus (1)

• Four-dimensional symplectic cobordisms containing three-handles

Cited by in corpus (5)

• The topology of Stein fillable manifolds in high dimensions I
• Symplectic fillings of asymptotically dynamically convex manifolds I
• $({\mathbb{RP}}^{2n-1},{\xi }_{std})$ is not exactly fillable for $n\ne 2^k$
• On fillings of contact links of quotient singularities
• Contact structures, deformations and taut foliations