The Yamada polynomial for embeddings of graphs is widely generalized by using knit semigroups and polytangles. To construct and investigate them, we use a diagrammatic method combined with the theory of algebras HN,M(a,q), which are quotients of knit semigroups and are generalizations of Iwahori-Hecke algebras Hn(q). Our invariants are versions of Turaev-Reshetikhin's invariants for ribbon graphs, but our construction is more specific and computable.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics