Shifting Homomorphisms in Quandle Cohomology and Skeins of Cocycle Knot Invariants

Abstract

Homomorphisms on quandle cohomology groups that raise the dimensions by one are studied in relation to the cocycle state-sum invariants of knots and knotted surfaces. Skein relations are also studied.

14 pages; 6 Figures. Minor corrections: The main application of one proposition remains true, but the proposition has been downgraded to a conjecture