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

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Authors and Affiliations

  1. Department of Mathematics, Osaka University, 560, Toyonaka, Osaka, Japan

    Jun Murakami

  2. Institute for Advanced Study, 08540, Princeton, NJ, USA

    Jun Murakami

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  1. Jun Murakami
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This research was supported in part by NSF grant DMS-9100383

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Murakami, J. The Yamada polynomial of spacial graphs and knit algebras. Commun.Math. Phys. 155, 511–522 (1993). https://doi.org/10.1007/BF02096726

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  • DOI: https://doi.org/10.1007/BF02096726

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