Topological strings, D-model, and knot contact homology
نویسندگان
چکیده
منابع مشابه
A Topological Introduction to Knot Contact Homology
This is a survey of knot contact homology, with an emphasis on topological, algebraic, and combinatorial aspects.
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We find further evidence for the conjecture relating large N Chern-Simons theory on S with topological string on the resolved conifold geometry by showing that the Wilson loop observable of a simple knot on S (for any representation) agrees to all orders in N with the corresponding quantity on the topological string side. For a general knot, we find a reformulation of the knot invariant in term...
متن کاملKnot Contact Homology
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...
متن کاملFramed Knot Contact Homology
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...
متن کاملCombinatorial Knot Contact Homology and Transverse Knots
We give a combinatorial treatment of transverse homology, a new invariant of transverse knots that is an extension of knot contact homology. The theory comes in several flavors, including one that is an invariant of topological knots and produces a three-variable knot polynomial related to the A-polynomial. We provide a number of computations of transverse homology that demonstrate its effectiv...
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ژورنال
عنوان ژورنال: Advances in Theoretical and Mathematical Physics
سال: 2014
ISSN: 1095-0761,1095-0753
DOI: 10.4310/atmp.2014.v18.n4.a3