#### İstanbul Center for Mathematical Sciences

Examples on Strongly Fillable but not Stein Fillable Contact 3-manifolds: $(-\Sigma(2, 2g+1, 2(2g+1)n-1), \mu_{0})$
Nur Sağlam
University of Minnesota, United States of America
Özet : In this talk, we will show that the $3$-manifold $-\Sigma(2, 2g+1, 2(2g+1)n-1)$ admits a contact structure $\mu_{0}$ which is strongly fillable but not Stein fillable. We will explain how to produce $(-\Sigma(2,2g+1, 2(2g+1)n-1), \mu_{0})$ and show that $\mu_{0}$ is strongly symplectically filllable. If time permit, we will prove the non-Stein fillability of $\mu_{0}$ using the contact invariants in Heegaard-Floer theory.
 Tarih : 18.05.2016 Saat : 14:30 Yer : IMBM Dil : English