The Yamada polynomial of spacial graphs and knit algebras

Jun Murakami

doi:10.1007/BF02096726

The Yamada polynomial of spacial graphs and knit algebras

Jun Murakami^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 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 H_N,M(a,q), which are quotients of knit semigroups and are generalizations of Iwahori-Hecke algebras H_n(q). Our invariants are versions of Turaev-Reshetikhin's invariants for ribbon graphs, but our construction is more specific and computable.

Original language	English
Pages (from-to)	511-522
Number of pages	12
Journal	Communications in Mathematical Physics
Volume	155
Issue number	3
DOIs	https://doi.org/10.1007/BF02096726
Publication status	Published - 1993 Aug
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02096726

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The Yamada polynomial of spacial graphs and knit algebras

Abstract

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