Three geometric applications of quandle homology

Abstract

In this paper we describe three geometric applications of quandle homology. We show that it gives obstructions to tangle embeddings, provides the lower bound for the 4-move distance between links, and can be used in determining periodicity of links.

16 pages, 13 figures

References in corpus (2)

• Twisted quandle homology theory and cocycle knot invariants
• Surgeries on periodic links and homology of periodic 3-manifolds