Mutants and SU(3)q invariants
نویسندگان
چکیده
Details of quantum knot invariant calculations using a specific SU(3)q –module are given which distinguish the Conway and Kinoshita– Teresaka pair of mutant knots. Features of Kuperberg’s skein-theoretic techniques for SU(3)q invariants in the context of mutant knots are also discussed. AMS Classification 57M25; 17B37, 22E47
منابع مشابه
Unified Quantum Invariants and Their Refinements for Homology 3–spheres with 2–torsion
For every rational homology 3–sphere with H1(M, Z) = (Z/2Z) n we construct a unified invariant (which takes values in a certain cyclotomic completion of a polynomial ring), such that the evaluation of this invariant at any odd root of unity provides the SO(3) Witten–Reshetikhin–Turaev invariant at this root and at any even root of unity the SU(2) quantum invariant. Moreover, this unified invari...
متن کاملGeometry & Topology Monographs Volume 1: The Epstein birthday schrift Pages 365–381
Details of quantum knot invariant calculations using a specific SU(3)q –module are given which distinguish the Conway and Kinoshita– Teresaka pair of mutant knots. Features of Kuperberg’s skein-theoretic techniques for SU(3)q invariants in the context of mutant knots are also discussed. AMS Classification 57M25; 17B37, 22E47
متن کاملOn Perturbative Psu(n) Invariants of Rational Homology 3-spheres
We extract power series invariants from the quantum PSU(n)-invariants of rational homology 3-spheres. This generalizes a result of Ohtsuki (the n = 2 case) which led him to the definition of finite type invariants of 3-manifolds. The proof uses some symmetry properties of quantum invariants (of links) derived from the theory of affine Lie algebras and the theory of the Kontsevich integral. 0. I...
متن کاملSkein Theory and Witten-reshetikhin-turaev Invariants of Links in Lens Spaces
We study the behavior of the Witten-Reshetikhin-Turaev SU(2) invariants of an arbitrary link in L(p, q) as a function of the level r− 2. They are given by
متن کاملSU (3) Modular Invariants
Using N = 2 Landau-Ginzburg theories, we examine the recent conjectures relating the ̂ SU(3) WZW modular invariants, finite subgroups of SU(3) and Gorenstein singularities. All isolated three-dimensional Gorenstein singularities do not appear to be related to any known Landau-Ginzburg theories, but we present some curious observations which suggest that the SU(3)n/SU(2)×U(1) Kazama-Suzuki model ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998