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ISSN 1088-6850(e) ISSN 0002-9947(p)

Homology groups of symmetric quandles and cocycle invariants of links and surface-links

Author(s): Seiichi Kamada; Kanako Oshiro
Journal: Trans. Amer. Math. Soc. 362 (2010), 5501-5527.
MSC (2010): Primary 57M25, 57Q45; Secondary 55N99, 18G99
Posted: May 20, 2010
MathSciNet review: 2657689
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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.

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