Bi-Legendrian rack colorings of Legendrian knots

被引：0
|
作者：
Kimura, Naoki [1 ]
机构：
[1] Waseda Univ, Grad Sch Fundamental Sci & Engn, Dept Math, 3-4-1 Okubo,Shinjuku, Tokyo 1698555, Japan
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2023年 / 32卷 / 04期
关键词：
Legendrian knot; contact manifold; rack; quandle; Thurston-Bennequin number; INVARIANTS;
D O I：
10.1142/S0218216523500293
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a bi-Legendrian rack and show that a bi-Legendrian rack coloring number is an invariant of Legendrian knots. We prove that bi-Legendrian rack coloring numbers can distinguish all Legendrian unknots with the same Thurston-Bennequin number. We also consider pairs of Legendrian knots which cannot be distinguished by bi-Legendrian rack coloring numbers.
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页数：16
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