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Room P3.10, Mathematics Building
J. Scott Carter, Univ. South Alabama
Quandle homology theories and cocycle invariants of knots
Cohomology theories have been developed for certain
self-distributive groupoids called quandles. Variations of
invariants of knots and knotted surfaces have been defined using
quandle cocycles and the state-sum form. We review these
developments, and also discuss quandle modules and their relation
to generalizations of Alexander modules, and topological
applications of these invariants.