3 citations · 3 across the 4 of their papers we have counts for
6 papers
Biquandle Module Quiver Representations
Yewon Joung, Sam Nelson
We introduce an infinite family of quiver representation-valued invariants of classical, virtual and surface-knots and links associated to a choice of finite biquandle, commutative…
Bikei Module Invariants of Unoriented Surface-Links
Yewon Joung, Sam Nelson
We extend our previous work from arXiv:1903.06863 on biquandle module invariants of oriented surface-links to the case of unoriented surface-links using bikei modules. The resultin…
Biquandle Module Invariants of Oriented Surface-Links
Yewon Joung, Sam Nelson
We define invariants of oriented surface-links by enhancing the biquandle counting invariant using \textit{biquandle modules}, algebraic structures defined in terms of biquandle ac…
Polynomial of an oriented surface-link diagram via quantum A_2 invariant
Yewon Joung, Seiichi Kamada, Akio Kawauchi +1
It is known that every surface-link can be presented by a marked graph diagram, and such a diagram presentation is unique up to moves called Yoshikawa moves. G. Kuperberg introduce…
On generating sets of Yoshikawa moves for marked graph diagrams of surface-links
Jieon Kim, Yewon Joung, Sang Youl Lee
A marked graph diagram is a link diagram possibly with marked -valent vertices. S. J. Lomonaco, Jr. and K. Yoshikawa introduced a method of representing surface-links by marked…
Applying Lipson's state models to marked graph diagrams of surface-links
Yewon Joung, Seiichi Kamada, Sang Youl Lee
A. S. Lipson constructed two state models yielding the same classical link invariant obtained from the Kauffman polynomial . In this paper, we apply Lipson's state models t…