Longitudinal mapping knot invariant for SU(2)
نویسندگان
چکیده
منابع مشابه
Möbius–invariant Knot Energies
There has been recent interest in knot energies among mathematicians and natural scientists. When discretized, such energies can lead to effective algorithms for recognizing when two curves represent the same knot. These energies may also help model physical systems, such as long protein chains or DNA knots, subject to van der Waals interactions. Knot energies often are normalized to be scalein...
متن کاملOn the Casson Knot Invariant
In our previous paper 19] we introduced a new type of combinatorial formulas for Vassiliev knot invariants and presented lots of formulas of this type. To the best of our knowledge, these formulas are by far the simplest and the most practical for computational purposes. Since then Goussarov has proved the main conjecture formulated in 19]: any Vassiliev knot invariant can be described by such ...
متن کاملThe Rasmussen Invariant of a Homogeneous Knot
A homogeneous knot is a generalization of alternating knots and positive knots. We determine the Rasmussen invariant of a homogeneous knot. This is a new class of knots such that the Rasmussen invariant is explicitly described in terms of its diagrams. As a corollary, we obtain some characterizations of a positive knot. In particular, we recover Baader’s theorem which states that a knot is posi...
متن کاملHyperbolic Structure Arising from a Knot Invariant
We study the knot invariant based on the quantum dilogarithm function. This invariant can be regarded as a non-compact analogue of Kashaev’s invariant, or the colored Jones invariant, and is defined by an integral form. The 3-dimensional picture of our invariant originates from the pentagon identity of the quantum dilogarithm function, and we show that the hyperbolicity consistency conditions i...
متن کاملA Complete Knot Invariant from Contact Homology
We construct an enhanced version of knot contact homology, and show that we can deduce from it the group ring of the knot group together with the peripheral subgroup. In particular, it completely determines a knot up to smooth isotopy. The enhancement consists of the (fully noncommutative) Legendrian contact homology associated to the union of the conormal torus of the knot and a disjoint cotan...
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: Journal of Knot Theory and Its Ramifications
سال: 2018
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216518430149