2012/05/09 by Atsushi Ishii, Ishii, Atsushi, Masahide Iwakiri +5 · 1 citation
Computer Science · Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1205.1855
22 pages
arxiv created 2012/05/09 · arxiv updated 2012/05/10
We introduce the notion of a G-family of quandles which is an algebraic system whose axioms are motivated by handlebody-knot theory, and use it to construct invariants for handlebody-knots. Our invariant can detect the chiralities of some handlebody-knots including unknown ones.