Sutures and contact homology I
نویسندگان
چکیده
منابع مشابه
Knot and Braid Invariants from Contact Homology I
We introduce topological invariants of knots and braid conjugacy classes, in the form of differential graded algebras, and present an explicit combinatorial formulation for these invariants. The algebras conjecturally give the relative contact homology of certain Legendrian tori in five-dimensional contact manifolds. We present several computations and derive a relation between the knot invaria...
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The conormal lift of a linkK in R is a Legendrian submanifold ΛK in the unit cotangent bundle U R of R with contact structure equal to the kernel of the Liouville form. Knot contact homology, a topological link invariant of K, is defined as the Legendrian homology of ΛK , the homology of a differential graded algebra generated by Reeb chords whose differential counts holomorphic disks in the sy...
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We extend knot contact homology to a theory over the ring Z[λ±1, μ±1], with the invariant given topologically and combinatorially. The improved invariant, which is defined for framed knots in S and can be generalized to knots in arbitrary manifolds, distinguishes the unknot and can distinguish mutants. It contains the Alexander polynomial and naturally produces a two-variable polynomial knot in...
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In this paper we show that any good toric contact manifold has well defined cylindrical contact homology and describe how it can be combinatorially computed from the associated moment cone. As an application we compute the cylindrical contact homology of a particularly nice family of examples that appear in the work of Gauntlett-Martelli-SparksWaldram on Sasaki-Einstein metrics. We show in part...
متن کاملContact Homology of Brieskorn Manifolds
We give an algorithm for computing the contact homology of some Brieskorn manifolds. As an application, we construct infinitely many contact structures on the class of simply connected contact manifolds that admit nice contact forms (i.e. no Reeb orbits of degree -1,0 or 1) and have index positivity with trivial first Chern class.
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2011
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2011.15.1749