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Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies

Published online by Cambridge University Press:  20 November 2018

Atsushi Ishii  and
Masahide Iwakiri
Atsushi Ishii
Affiliation:
Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan email: aishii@math.tsukuba.ac.jp
Masahide Iwakiri
Affiliation:
Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan email: aishii@math.tsukuba.ac.jp
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Abstract

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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.

Keywords

57M2757M1557M25quandle cocycle invariantknotted handlebodyspatial graph
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 64 , Issue 1 , 01 February 2012 , pp. 102 - 122
Copyright
Copyright © Canadian Mathematical Society 2012

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