منابع مشابه
Holomorphic discs and sutured manifolds
In this paper we construct a Floer-homology invariant for a natural and wide class of sutured manifolds that we call balanced. This generalizes the Heegaard Floer hat theory of closed three-manifolds and links. Our invariant is unchanged under product decompositions and is zero for nontaut sutured manifolds. As an application, an invariant of Seifert surfaces is given and is computed in a few i...
متن کاملTaut ideal triangulations of 3–manifolds
A taut ideal triangulation of a 3–manifold is a topological ideal triangulation with extra combinatorial structure: a choice of transverse orientation on each ideal 2–simplex, satisfying two simple conditions. The aim of this paper is to demonstrate that taut ideal triangulations are very common, and that their behaviour is very similar to that of a taut foliation. For example, by studying norm...
متن کاملAdding 2–handles to Sutured Manifolds
Combinatorial sutured manifold theory is used to study the effects of attaching a 2–handle to an essential simple closed curve on a genus two boundary component of a compact, orientable 3–manifold. The main results concern degenerating handle additions to a simple 3– manifold and essential surfaces in the exterior of a knot or link obtained by “boring” a split link or unknot. (Boring is an oper...
متن کاملGraph Manifolds Z-homology 3-spheres and Taut Foliations
We show that a graph manifold which is a Z-homology 3-sphere not homeomorphic to either S or Σ(2, 3, 5) admits a horizontal foliation. This combines with known results to show that the conditions of not being an L-space, of having a left-orderable fundamental group, and of admitting a co-oriented taut foliation, are equivalent for graph manifold Z-homology 3-spheres.
متن کاملThe sutured Floer homology polytope
Using sutured Floer homology (in short SFH) I will define a polytope inside the second relative cohomology group of a sutured manifold. This is a generalization of the dual Thurston norm polytope of a link-complement studied by Ozsvath and Szabo using link Floer homology. The polytope is maximal dimensional under certain conditions. Moreover, surface decompositions correspond to the faces of th...
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: Algebraic & Geometric Topology
سال: 2014
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2014.14.157