Mathematics – Geometric Topology
Scientific paper
2009-01-27
Pacific Journal of Mathematics, Vol. 248 (2010), No. 1, 155--170
Mathematics
Geometric Topology
14 pages
Scientific paper
10.2140/pjm.2010.248.155
We introduce an algebraic structure we call semiquandles whose axioms are derived from flat Reidemeister moves. Finite semiquandles have associated counting invariants and enhanced invariants defined for flat virtual knots and links. We also introduce singular semiquandles and virtual singular semiquandles which define invariants of flat singular virtual knots and links. As an application, we use semiquandle invariants to compare two Vassiliev invariants.
Henrich Allison
Nelson Sam
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