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pro vyhledávání: '"Yewon Joung"'
Autor:
Yewon Joung, Sam Nelson
Publikováno v:
Proceedings of the American Mathematical Society. 148:3135-3148
We define invariants of oriented surface-links by enhancing the biquandle counting invariant using \textit{biquandle modules}, algebraic structures defined in terms of biquandle actions on commutative rings analogous to Alexander biquandles. We show
Publikováno v:
Topology and its Applications. 231:159-185
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 introduced a regular isotopy invariant, called the quantum A_2 invariant, for t
A marked graph diagram is a link diagram possibly with marked $4$-valent vertices. S. J. Lomonaco, Jr. and K. Yoshikawa introduced a method of representing surface-links by marked graph diagrams. Specially, K. Yoshikawa gave local moves on marked gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4401e1c20aa627be8d5ac9b883452f0
A. S. Lipson constructed two state models yielding the same classical link invariant obtained from the Kauffman polynomial $F(a,z)$. In this paper, we apply Lipson's state models to marked graph diagrams of surface-links, and observe when they induce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fed279cd0b2df57fccfdc2cd1abf8f83
Publikováno v:
Journal of Knot Theory and Its Ramifications. 23:1460007
Carrell defined the fundamental biquandle of an oriented surface-link by a presentation obtained from its broken surface diagram, which is an invariant up to isomorphism of the fundamental biquandle. Ashihara gave a method to calculate the fundamenta
Publikováno v:
Journal of Knot Theory and Its Ramifications. 22:1350052
In [Towards invariants of surfaces in 4-space via classical link invariants, Trans. Amer. Math. Soc.361 (2009) 237–265], Lee defined a polynomial [[D]] for marked graph diagrams D of surface-links in 4-space by using a state-sum model involving a g
Publikováno v:
Journal of Knot Theory & Its Ramifications; Jun2014, Vol. 23 Issue 7, p1-26, 26p