For any positive integer n, we give a 2–component surface-link F = F1 ∪ F2 such that F1 is orientable, F2 is non-orientable and the triple point number of F is equal to 2n. To give lower bounds of the triple point numbers, we use symmetric quandle cocycle invariants.
Oshiro, Kanako  1
@article{10_2140_agt_2010_10_853,
author = {Oshiro, Kanako},
title = {Triple point numbers of surface-links and symmetric quandle cocycle invariants},
journal = {Algebraic and Geometric Topology},
pages = {853--865},
year = {2010},
volume = {10},
number = {2},
doi = {10.2140/agt.2010.10.853},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2010.10.853/}
}
TY - JOUR AU - Oshiro, Kanako TI - Triple point numbers of surface-links and symmetric quandle cocycle invariants JO - Algebraic and Geometric Topology PY - 2010 SP - 853 EP - 865 VL - 10 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2010.10.853/ DO - 10.2140/agt.2010.10.853 ID - 10_2140_agt_2010_10_853 ER -
%0 Journal Article %A Oshiro, Kanako %T Triple point numbers of surface-links and symmetric quandle cocycle invariants %J Algebraic and Geometric Topology %D 2010 %P 853-865 %V 10 %N 2 %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2010.10.853/ %R 10.2140/agt.2010.10.853 %F 10_2140_agt_2010_10_853
Oshiro, Kanako. Triple point numbers of surface-links and symmetric quandle cocycle invariants. Algebraic and Geometric Topology, Tome 10 (2010) no. 2, pp. 853-865. doi: 10.2140/agt.2010.10.853
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