11/11/2022 0 Comments Types of knotes that hold spheres![]() ![]() I will show a computer graphics movie about knotted surfaces in 4-dimensional space. In this talk I will show that if we work with coefficient Z and T=1 or -1, then the twisted cocycle invariants are trivial for knots. The twisted quandle cocycle invariants of knots were introduced by J S Carter, M Elhamdadi and M Saito in 2002. On twisted cocycle invariants with coefficient Zīeijing Normal University & George Washington University In the talk, I will review some of the definitions and constructions involved in the proof by Hedden and Kirk and I will introduce some topological constructions that simplify and extend their argument. Hedden and Kirk then used the aforementioned criterion to establish conditions under which an infinite family of Whitehead doubles of positive torus knots are independent in the smooth concordance group. ![]() In the 1980s Furuta and Fintushel-Stern applied the theory of instantons and Chern-Simons invariants to develop a criterion for a collection of special homology spheres to be independent in the homology cobordism group of oriented homology 3-spheres. Independence of Whitehead Doubles of Torus Knots in the Smooth Concordance Group Numerical invariants) and I believe (and have evidence to support my belief) that In this way is the Alexander polynomial (in itself it is infinitely many Gassner invariant", which is still poly-time. I suggest to do the same as, except replacing "the skeleton" with "the Only finitely many integer invariants can be computed in this manner within any Viro shows that every type d knot invariant has a formula of this kind. An under-explained paper by Goussarov, Polyak, and ![]() The result is always poly-time computable as only binom(n,d) Knot diagram while observing the rest of the diagram only very loosely, minding Possibilities of paying very close attention to d crossings in some n-crossing In a "degree d Gauss diagram formula" one produces a number by summing over all ![]() This new polynomial agrees with the HOMFLY-PT polynomial on link diagrams which are presented as closed braid diagrams. Finally we will show that the Euler characteristic of this homology theory is a deformed version of the HOMFLY-PT polynomial which detects "braidlike" isotopy of tangles and links. We explicitly show that the Reidemeister IIb move (where the strands have opposite orientations) fails, and discuss the effect on defining a virtual link invariant. In this talk we explore the consequences of dropping this requirement and allowing general link diagrams. This restriction was expected by Khovanov and Rozansky to be required for the homology to be an isotopy invariant. In the construction of HOMFLY-PT homology, one must start with a link presented as a braid closure. HOMFLY-PT homology of general link diagrams up to braidlike isotopy and its decategorification We introduce a logic of partial information framework where the paradox can be solved, and its quantum physical significance displayed. We consider the wave particle duality paradox in quantum mechanics, and show that it appears in the form of the distinct logical fallacies. of Western Ontario, Canada and INRIA Rocquencourt, France On the resolution of the wave particle duality paradox in quantum mechanics Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU) Knots in the Triangle (Knots kNot in Washington) Abstracts: Knots in the Triangle (Knots kNot in Washington) ![]()
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