Keyword: Symmetric Quandle Cocycle Invariant : Search

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Keyword: System Generalized Method Of Moments (4)	26 Mar 2025	Run
Keyword: Symmetric Quandle Cocycle Invariant (1)	26 Mar 2025	Run
Keyword: Collocation Boundary Element Method (1)	26 Mar 2025	Run
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articleNo Access
Computations of quandle cocycle invariants of surface-links using marked graph diagrams
- Seiichi Kamada,
- Jieon Kim, and
- Sang Youl Lee
Journal of Knot Theory and Its Ramifications01 Sep 2015
Preview Abstract
By using the cohomology theory of quandles, quandle cocycle invariants and shadow quandle cocycle invariants are defined for oriented links and surface-links via broken surface diagrams. By using symmetric quandles, symmetric quandle cocycle invariants are also defined for unoriented links and surface-links via broken surface diagrams. A marked graph diagram is a link diagram possibly with 4-valent vertices equipped with markers. Lomonaco, Jr. and Yoshikawa introduced a method of describing surface-links by using marked graph diagrams. In this paper, we give interpretations of these quandle cocycle invariants in terms of marked graph diagrams, and introduce a method of computing them from marked graph diagrams.

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