Webthe Legendrian contact homology DGA of the conormal lift of a knot K and also generalize the combinatorial description of knot contact homology to many-component links. Here the conormal lift of a link K is a union Λ K of Legendrian tori in the unit cotangent bundle S∗R3 of R3 with the contact structure given as the kernel of the canonical 1 ... WebKnot contact homology studies symplectic and contact geometric properties of conormals of knots in 3-manifolds using holomorphic curve techniques. It has connections to both mathematical and physical theories. On the mathematical side, we review the theory, show that it gives a complete knot invariant, and discuss its connections to Fukaya categories, …
Knot contact homology, string topology, and the cord algebra
Web2014 (English) In: Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, E-ISSN 1095-0753, Vol. 18, no 4, p. 827-956 Article in journal (Other academic) Published Abstract [en] We study the connection between topological strings and contact homology recently proposed in the context of knot invariants. Webfact that knot contact homology recovers enough of the knot group (the fundamental group of the knot complement) to detect the unknot [Ng08] and torus knots, among others [GL]. greenford radio cars
Legendrian Contact Homology and Nondestabilizability
WebKnot contact homology is the homology of a differential graded algebra associated to a knot, the knot DGA (A,∂). By the general invariance result for Legendrian contact … WebApr 21, 2013 · We study the connection between topological strings and contact homology recently proposed in the context of knot invariants. In particular, we establish the proposed relation between the Gromov-Witten disk amplitudes of a Lagrangian associated to a knot and augmentations of its contact homology algebra. WebSep 7, 2011 · The knot contact homology detects several classes of knots [5], and an enhancement of the knot contact homology is a complete invariant of knots [4]. ... The differential of (CY 1 (D 1 ), ∂ 1 ... greenford recycle booking