The triple point number of a surface-knot is defined to be the minimal number of triple points among all diagrams of the surface-knot. We give a lower bound of the triple point number using quandle cocycle invariants.
%0 Journal Article
%1 Hatakenaka2004a
%A Hatakenaka, Eri
%D 2004
%J Topology and its Applications
%K algebra homology knot-theory quandles topology
%N 1-3
%P 129--144
%R 10.1016/j.topol.2003.09.006
%T An estimate of the triple point numbers of surface-knots by quandle cocycle invariants
%U http://dx.doi.org/10.1016/j.topol.2003.09.006
%V 139
%X The triple point number of a surface-knot is defined to be the minimal number of triple points among all diagrams of the surface-knot. We give a lower bound of the triple point number using quandle cocycle invariants.
@article{Hatakenaka2004a,
abstract = {The triple point number of a surface-knot is defined to be the minimal number of triple points among all diagrams of the surface-knot. We give a lower bound of the triple point number using quandle cocycle invariants.},
added-at = {2009-05-26T10:18:38.000+0200},
author = {Hatakenaka, Eri},
biburl = {https://www.bibsonomy.org/bibtex/2aa166acffd93ea6c84cffa34f1ed1e16/njj},
doi = {10.1016/j.topol.2003.09.006},
interhash = {0ece6b72ee243d3e8e5eb3f8613571f3},
intrahash = {aa166acffd93ea6c84cffa34f1ed1e16},
issn = {0166-8641},
journal = {Topology and its Applications},
keywords = {algebra homology knot-theory quandles topology},
number = {1-3},
pages = {129--144},
timestamp = {2009-05-26T10:18:49.000+0200},
title = {An estimate of the triple point numbers of surface-knots by quandle cocycle invariants},
url = {http://dx.doi.org/10.1016/j.topol.2003.09.006},
volume = 139,
year = 2004
}