منابع مشابه
Knot Invariants and Topological Strings
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...
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To record what has happened, ancient people tie knots. | I ching, the Chinese classic of 1027{771 B.C. Knots are fascinating objects. When fastening a rope, the distinction between a knot and a \slip-knot" (one that can be undone by pulling) must have been recognized very early in human history. We even developed a subconscious about knots: When we are puzzled or troubled, we have a feeling of ...
متن کاملKnot and Braid Invariants from Contact Homology
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 fivedimensional contact manifolds. We present several computations and derive a relation between the knot invarian...
متن کاملKnot invariants from rational conformal field theories
A framework for studying knot and link invariants from any rational conformal field theory is developed. In particular, minimal models, superconformal models and WN models are studied. The invariants are related to the invariants obtained from the Wess-Zumino models associated with the coset representations of these models. Possible Chern-Simons representation of these models is also indicated....
متن کاملKnot Invariants from Symbolic Dynamical Systems
If G is the group of an oriented knot k, then the set Hom(K,Σ) of representations of the commutator subgroup K = [G,G] into any finite group Σ has the structure of a shift of finite type ΦΣ, a special type of dynamical system completely described by a finite directed graph. Invariants of ΦΣ, such as its topological entropy or the number of its periodic points of a given period, determine invari...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1995
ISSN: 0166-8641
DOI: 10.1016/0166-8641(94)00028-2