Demulcent
发表于 2025-3-23 10:56:42
Book 2017ons and related topics. The book is written from topological aspects, but it illustrates how esteemed quandle theory is in mathematics, and it constitutes a crash course for studying quandles..More precisely, this work emphasizes the fresh perspective that quandle theory can be useful for the study
等待
发表于 2025-3-23 15:37:45
Some of Quandle Cocycle Invariants of Links,o a shadow version, a non-abelian one, and a bigraded one (see Sects. .–. respectively). In this chapter, we study the invariants with various versions in turn. We assume basic knowledge of CW-complexes (see the textbook ).
柱廊
发表于 2025-3-23 21:13:56
Topology of the Rack Space and the 2-Cocycle Invariant, ., we give some examples. The reader who is interested only in the cocycle invariants may safely skip to Chap. .. .. In this chapter, by . we always mean a quandle, and by .(.) we do the connected components of ..
FLAX
发表于 2025-3-24 00:05:42
,Inoue–Kabaya Chain Map,ns (in particular, the fundamental 3-class). After that, following the outline and philosophy, we describe concrete applications. To be precise, in Sect. ., we recover the Chern-Simons invariants of hyperbolic links, and in Sect. ., we will reconsider the bilinear cohomology pairings of links.
完全
发表于 2025-3-24 03:36:44
,-Colorings of Links,and list some examples with applications. In Sect. ., we briefly observe a relation between colorings and the braid group. Here, we assume that the reader has the elementary knowledge in knot theory (for this, we refer the reader to the books or Appendix A).
Spangle
发表于 2025-3-24 08:15:59
Topology on the Quandle Homotopy Invariant,group homology. After that, in Sect. ., we discuss the homotopy type of the rack space of the link quandle; In Sect. ., we give a topological meaning of the quandle homotopy link-invariant. Finally, we provide a method of computing the third quandle homology; see Sect. ..
炼油厂
发表于 2025-3-24 12:43:30
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笨拙的你
发表于 2025-3-24 18:39:18
,-Colorings of Links,e knot quandle. Precisely, in Sect. ., we define colorings and observe examples. In Sect. ., we see a topological characterization of the colorings, and list some examples with applications. In Sect. ., we briefly observe a relation between colorings and the braid group. Here, we assume that the re
Obliterate
发表于 2025-3-24 20:29:50
Some of Quandle Cocycle Invariants of Links,uced by Fenn-Rourke-Sanderson , and is graded by a homotopy group. After that, from the homological viewpoints, Carter-Jelsovsky-Kamada-Langford-Saito used quandle cocycles to introduce computable link-invariants (which are called .). Furthermore, the invariants are generalized t
absorbed
发表于 2025-3-25 02:35:22
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