Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies
Canadian journal of mathematics, Tome 64 (2012) no. 1, pp. 102-122
Voir la notice de l'article provenant de la source Cambridge
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.
Mots-clés :
57M27, 57M15, 57M25, quandle cocycle invariant, knotted handlebody, spatial graph
Ishii, Atsushi; Iwakiri, Masahide. Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies. Canadian journal of mathematics, Tome 64 (2012) no. 1, pp. 102-122. doi: 10.4153/CJM-2011-035-0
@article{10_4153_CJM_2011_035_0,
author = {Ishii, Atsushi and Iwakiri, Masahide},
title = {Quandle {Cocycle} {Invariants} for {Spatial} {Graphs} and {Knotted} {Handlebodies}},
journal = {Canadian journal of mathematics},
pages = {102--122},
year = {2012},
volume = {64},
number = {1},
doi = {10.4153/CJM-2011-035-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-035-0/}
}
TY - JOUR AU - Ishii, Atsushi AU - Iwakiri, Masahide TI - Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies JO - Canadian journal of mathematics PY - 2012 SP - 102 EP - 122 VL - 64 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-035-0/ DO - 10.4153/CJM-2011-035-0 ID - 10_4153_CJM_2011_035_0 ER -
%0 Journal Article %A Ishii, Atsushi %A Iwakiri, Masahide %T Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies %J Canadian journal of mathematics %D 2012 %P 102-122 %V 64 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-035-0/ %R 10.4153/CJM-2011-035-0 %F 10_4153_CJM_2011_035_0
Cité par Sources :