Infinitely Many Universally Tight Contact Manifolds with Trivial Ozváth–szabó Contact Invariants
نویسنده
چکیده
In this article we present infinitely many 3–manifolds admitting infinitely many universally tight contact structures each with trivial Ozsváth–Szabó contact invariants. By known properties of these invariants the contact structures constructed in this article are non weakly symplectically fillable.
منابع مشابه
Infinitely many universally tight contact manifolds with trivial Ozsváth–Szabó contact invariants
Recently Ozsváth and Szabó introduced a new isotopy invariant c(ξ) for contact 3– manifolds (Y, ξ) belonging to the Heegaard Floer homology group ĤF(−Y). They proved [27] that c(ξ) = 0 if ξ is an overtwisted contact structure, and that c(ξ) 6= 0 if ξ is Stein fillable. Later, they introduced also a refined version of the contact invariant denoted by c(ξ) taking values in the so-called Heegaard ...
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