%0 Generic %1 Kamada2009a %A Kamada, Seiichi %A Oshiro, Kanako %D 2009 %K algebra homology knot-theory quandles topology %T Homology Groups of Symmetric Quandles and Cocycle Invariants of Links and Surface-links %U http://arxiv.org/abs/0902.4277 %X We introduce the notion of a quandle with a good involution and its homology groups. Carter et al. defined quandle cocycle invariants for oriented links and oriented surface-links. By use of good involutions, quandle cocyle invariants can be defined for links and surface-links which are not necessarily oriented or orientable. The invariants can be used in order to estimate the minimal triple point numbers of non-orientable surface-links.

@misc{Kamada2009a, abstract = {We introduce the notion of a quandle with a good involution and its homology groups. Carter et al. defined quandle cocycle invariants for oriented links and oriented surface-links. By use of good involutions, quandle cocyle invariants can be defined for links and surface-links which are not necessarily oriented or orientable. The invariants can be used in order to estimate the minimal triple point numbers of non-orientable surface-links. }, added-at = {2009-05-22T15:29:03.000+0200}, author = {Kamada, Seiichi and Oshiro, Kanako}, biburl = {https://www.bibsonomy.org/bibtex/26d6162a1d067afb6d10659dc4ea32227/njj}, description = {Homology Groups of Symmetric Quandles and Cocycle Invariants of Links and Surface-links}, interhash = {d2696e41df4deac3f97cb6313536757b}, intrahash = {6d6162a1d067afb6d10659dc4ea32227}, keywords = {algebra homology knot-theory quandles topology}, note = {cite arxiv:0902.4277 }, timestamp = {2009-05-22T15:29:04.000+0200}, title = {Homology Groups of Symmetric Quandles and Cocycle Invariants of Links and Surface-links }, url = {http://arxiv.org/abs/0902.4277}, year = 2009 }