Titlebook: Knots, Low-Dimensional Topology and Applications; Knots in Hellas, Int Colin C. Adams,Cameron McA. Gordon,Radmila Sazdano Conference procee

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Algebraic and Computational Aspects of Quandle 2-Cocycle Invariant,diagrams by quandles. Quandle 2-cocycles can be also used to define extensions as in the case of groups. There are relations among algebraic properties of quandles, their homology theories, and cocycle invariants; certain algebraic properties of quandles affect the values of the cocycle invariants,

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A Survey of Quantum Enhancements,of quantum invariants of knots with colorings by various algebraic objects over the set of such colorings. This class of invariants includes classical skein invariants and quandle and biquandle cocycle invariants as well as new invariants.

opalescence

種植,培養(yǎng)

,A Survey of Grid Diagrams and a Proof of Alexander’s Theorem,er gives an introduction to grid diagrams and demonstrates their programmable viability in an algorithmic proof of Alexander’s Theorem. Throughout, there are detailed comments on how to program a computer to encode the diagrams and algorithms.

Abrade

Extending the Classical Skein,he invariant .[.] is based on a procedure where we apply the skein relation only to crossings of distinct components, so as to produce collections of unlinked knots and then we evaluate the resulting knots using the invariant . and inserting at the same time a new parameter. This procedure, remarkab

GUILE

Apoptosis

Mirage

Knot Invariants in Lens Spaces,omial of links in lens spaces, which we represent by mixed link diagrams. These invariants generalize the corresponding knot polynomials in the classical case. We compare the invariants by means of the ability to distinguish between some difficult cases of knots with certain symmetries.

linguistics

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A Survey on Knotoids, Braidoids and Their Applications,analogous to classical braids, forming a counterpart theory to the theory of knotoids in the plane. We survey through the fundamental notions and existing works on these objects as well as their applications in the study of proteins.