Seiichi Kamada, Kanako Oshiro
Published 2009-02-25Version 1
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.
Constructions of invariants for surface-links via link invariants and applications to the Kauffman bracket
Computations of quandle cocyle invariants of surface-links using marked graph diagrams
Homology and Cohomology of Topological Quandles
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