Real open books and real contact structures
نویسندگان
چکیده
منابع مشابه
Khovanov Homology, Open Books, and Tight Contact Structures
We define the reduced Khovanov homology of an open book (S, φ), and we identify a distinguished “contact element” in this group which may be used to establish the tightness of contact structures compatible with (S, φ). Our construction generalizes the relationship between the reduced Khovanov homology of a link and the Heegaard Floer homology of its branched double cover. As an application, we ...
متن کاملOpen Books Supporting Overtwisted Contact Structures and Stallings Twist
We study open books (or open book decompositions) of a closed oriented 3-manifold which support overtwisted contact structures. We focus on a simple closed curve along which one can perform Stallings twist, called “twisting loop”. We show that the existence of a twisting loop on the fiber surface of an open book is equivalent up to positive stabilization to the existence of an overtwisted disk ...
متن کاملOpen books on contact five-manifolds
The aim of this paper is to give an alternative proof of a theorem about the existence of contact structures on five-manifolds due to Geiges. This theorem asserts that simply-connected five-mani-folds admit a contact structure in every homotopy class of almost contact structures. Our proof uses the open book construction of Giroux.
متن کامل2 00 6 Open Books on Contact Five - Manifolds
The aim of this paper is to give an alternative proof of a theorem about the existence of contact structures on five-manifolds due to Geiges. This theorem asserts that simply-connected five-manifolds admit a contact structure in every homotopy class of almost contact structures. Our proof uses the open book construction of Giroux.
متن کاملPlanar Open Book Decompositions and Contact Structures
In this note we observe that while all overtwisted contact structures on compact 3–manifolds are supported by planar open book decompositions, not all contact structures are. This has relevance to the Weinstein conjecture [1] and invariants of contact structures.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Geometry
سال: 2015
ISSN: 1615-7168,1615-715X
DOI: 10.1515/advgeom-2015-0031