A note on Stein fillings of contact manifolds

نویسندگان

  • Anar Akhmedov
  • John B. Etnyre
  • Thomas E. Mark
  • Ivan Smith
چکیده

We construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3-manifolds. Math. Res. Lett. 15 (2008), no. 6, 1127–1132 c © International Press 2008 A NOTE ON STEIN FILLINGS OF CONTACT MANIFOLDS Anar Akhmedov, John B. Etnyre, Thomas E. Mark, and Ivan Smith Abstract. In this note we construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3–manifolds. In this note we construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3–manifolds.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Singularity Links with Exotic Stein Fillings

In [4], it was shown that there exist infinitely many contact Seifert fibered 3-manifolds each of which admits infinitely many exotic (homeomorphic but pairwise non-diffeomorphic) simply-connected Stein fillings. Here we extend this result to a larger set of contact Seifert fibered 3-manifolds with many singular fibers and observe that these 3-manifolds are singularity links. In addition, we pr...

متن کامل

Strongly fillable contact 3–manifolds without Stein fillings

We use the Ozsváth–Szabó contact invariant to produce examples of strongly symplectically fillable contact 3–manifolds which are not Stein fillable. AMS Classification numbers Primary: 57R17 Secondary: 57R57

متن کامل

On the topology of fillings of contact manifolds and applications

The aim of this paper is to address the following question: given a contact manifold (Σ, ξ), what can be said about the aspherical symplectic manifolds (W,ω) bounded by (Σ, ξ) ? We first extend a theorem of Eliashberg, Floer and McDuff to prove that under suitable assumptions the map from H∗(Σ) to H∗(W ) induced by inclusion is surjective. We then apply this method in the case of contact manifo...

متن کامل

Stein Fillings and Su(2) Representations

We recently defined invariants of contact 3-manifolds using a version of instanton Floer homology for sutured manifolds. In this paper, we prove that if several contact structures on a 3-manifold are induced by Stein structures on a single 4-manifold with distinct Chern classes modulo torsion then their contact invariants in sutured instanton homology are linearly independent. As a corollary, w...

متن کامل

Cobordism, Relative Indices and Stein Fillings

In this paper we build on the framework developed in [7, 8, 9] to obtain a more complete understanding of the gluing properties for indices of boundary value problems for the SpinC-Dirac operator with sub-elliptic boundary conditions. We extend our analytic results for sub-elliptic boundary value problems for the SpinC-Dirac operator, and gluing results for the indices of these boundary problem...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008