Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies-Reference-Cited by-同舟云学术

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Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies

Published:2012-02-01 Issue:1 Volume:64 Page:102-122
ISSN:0008-414X
Container-title:Canadian Journal of Mathematics
language:en
Short-container-title:Can. j. math.

Author:

Ishii Atsushi,Iwakiri Masahide

Abstract

Abstract We introduce a flow of a spatial graph and see how invariants for spatial graphs and handlebody-links are derived from those for flowed spatial graphs. We define a new quandle (co)homology by introducing a subcomplex of the rack chain complex. Then we define quandle colorings and quandle cocycle invariants for spatial graphs and handlebody-links.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 19 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A table of n-component handlebody links of genus n+1 up to six crossings;Mathematical Proceedings of the Cambridge Philosophical Society;2022-06-17

2. Handlebody-knots and development of quandle theory;Sugaku Expositions;2022-04-07

3. Derivatives with Alexander pairs for quandles;Fundamenta Mathematicae;2022

4. Unknotting annuli and handlebody-knot symmetry;Topology and its Applications;2022-01

5. New quantum invariants of theta-curves with base points;Topology and its Applications;2021-09

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