The Yamada polynomial of spacial graphs and knit algebras

Research output: Contribution to journalArticle

3 Citations (Scopus)

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
Externally publishedYes

Fingerprint

polynomials
algebra
Semigroup
Iwahori-Hecke Algebra
Algebra
Polynomial
Invariant
quotients
Combined Method
Graph in graph theory
embedding
ribbons
Quotient
Generalization

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

The Yamada polynomial of spacial graphs and knit algebras. / Murakami, Jun.

In: Communications in Mathematical Physics, Vol. 155, No. 3, 08.1993, p. 511-522.

Research output: Contribution to journalArticle

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