最小
发表于 2025-3-30 11:00:45
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,
银版照相
发表于 2025-3-30 15:34:39
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
发表于 2025-3-30 20:30:17
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种植,培养
发表于 2025-3-30 21:38:48
,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
发表于 2025-3-31 02:25:51
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
发表于 2025-3-31 05:25:26
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Apoptosis
发表于 2025-3-31 13:16:00
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Mirage
发表于 2025-3-31 16:00:50
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
发表于 2025-3-31 20:24:54
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全等
发表于 2025-4-1 00:23:34
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.