On the Alexander biquandles of oriented surface-links via marked graph diagrams

被引：9
|
作者：
Kim, Jieon [1 ]
Joung, Yewon [1 ]
Lee, Sang Youl [2 ]
机构：
[1] Pusan Natl Univ, Grad Sch Nat Sci, Dept Math, Pusan 609735, South Korea
[2] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2014年 / 23卷 / 07期
基金：
新加坡国家研究基金会;
关键词：
Fundamental biquandle; Alexander biquandle; ch-diagram; marked graph diagram; knotted surface; surface-link; invariant of surface-link; invertible surface-link; INVARIANTS; 4-SPACE;
D O I：
10.1142/S0218216514600074
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 fundamental biquandle of an oriented surface-link from its marked graph diagram (ch-diagram). In this paper, we discuss the fundamental Alexander biquandles of oriented surface-links via marked graph diagrams, derived computable invariants and their applications to detect non-invertible oriented surface-links.
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页数：26
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