Layers of knot region colorings and higher differentials

摘要

We inductively define layers of colorings of knot and knotted surface diagrams using ternary quasigroups. Homological invariants from such systems of colorings use shorter differentials and of higher degree than the standard homology differentials, and give access to typically more complex homology groups. (C) 2020 Elsevier B.V. All rights reserved.