The Yamada polynomial of spacial graphs and knit algebras

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Abstract

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.

Original languageEnglish
Pages (from-to)511-522
Number of pages12
JournalCommunications in Mathematical Physics
Volume155
Issue number3
DOIs
Publication statusPublished - 1993 Aug 1

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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