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The Yamada polynomial of spacial graphs and knit algebras

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Publication:1308481
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DOI10.1007/BF02096726zbMath0820.57007MaRDI QIDQ1308481

Jun Murakami

Publication date: 4 January 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

embeddings of graphsYamada polynomialknit semigroupspolytanglesTuraev-Reshetikhin's invariants


Mathematics Subject Classification ID

Graph theory (05C99)


Related Items (5)

Yamada polynomial and associated link of \(\theta \)-curves ⋮ The Yamada polynomial of spatial graphs obtained by edge replacements ⋮ The generalized Yamada polynomials of virtual spatial graphs ⋮ Density of roots of the Yamada polynomial of spatial graphs ⋮ Planar diagrams for local invariants of graphs in surfaces



Cites Work

  • State models and the Jones polynomial
  • The centralizer algebras of mixed tensor representations of \({\mathcal U}_ q (gl_ n)\) and the HOMFLY polynomial of links
  • Ribbon graphs and their invariants derived from quantum groups
  • A polynomial invariant for knots via von Neumann algebras
  • A new polynomial invariant of knots and links
  • An Invariant of Regular Isotopy
  • An invariant of spatial graphs




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