Whitehead Doubling Persists
نویسنده
چکیده
Even though the (untwisted) Whitehead doubling operation kills all known abelian invariants of knots (and makes them topologically slice), we show that it does not kill the rational function that equals to the 2-loop part of the Kontsevich integral.
منابع مشابه
A Comparison Between Fourier Transform Adomian Decomposition Method and Homotopy Perturbation ethod for Linear and Non-Linear Newell-Whitehead-Segel Equations
In this paper, a comparison among the hybrid of Fourier Transform and AdomianDecomposition Method (FTADM) and Homotopy Perturbation Method (HPM) is investigated.The linear and non-linear Newell-Whitehead-Segel (NWS) equations are solved and the results arecompared with the exact solution. The comparison reveals that for the same number of componentsof recursive sequences, the error of FTADM is ...
متن کاملChiral Dirac fermions on the lattice using Geometric Discretisation
The theorem of Nielsen and Ninomiya [3] came with a topological proof of the fact that under reasonable assumptions, fermion doubling is unavoidable on the lattice. A key element of the proof was the periodicity of the Brillouin zone thus setting the approach in momentum space. In other arguments [4], [5] it was argued that doubling is already present when one starts one step back and consider ...
متن کاملFrom Quasiperiodic Partial Synchronization to Collective Chaos in Populations of Inhibitory Neurons with Delay.
Collective chaos is shown to emerge, via a period-doubling cascade, from quasiperiodic partial synchronization in a population of identical inhibitory neurons with delayed global coupling. This system is thoroughly investigated by means of an exact model of the macroscopic dynamics, valid in the thermodynamic limit. The collective chaotic state is reproduced numerically with a finite population...
متن کاملMathematische Zeitschrift Modulus and the Poincaré inequality on metric measure spaces
The purpose of this paper is to develop the understanding of modulus and the Poincaré inequality, as defined on metric measure spaces. Various definitions for modulus and capacity are shown to coincide for general collections of metric measure spaces. Consequently, modulus is shown to be upper semi-continuous with respect to the limit of a sequence of curve families contained in a converging se...
متن کاملJSJ - decompositions of knot and link complements in S 3
This paper is a survey of some of the most elementary consequences of the JSJ-decomposition and geometrization for knot and link complements in S3 . Formulated in the language of graphs, the result is the construction of a bijective correspondence between the isotopy classes of links in S3 and a class of vertex-labelled, finite acyclic graphs, called companionship graphs. This construction can ...
متن کامل