Flags and tangles

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We show that two constructions yield equivalent braided monoidal categories. The first is topological, based on Legendrian tangles and skein relations, while the second is algebraic, in terms of chain complexes with complete flag and convolution-type products. The category contains Iwahori–Hecke algebras of type A n as endomorphism algebras of certain objects.

Original languageEnglish
JournalQuantum Topol.
Issue number3
Pages (from-to)461-505
Publication statusPublished - 1. Oct 2021
Externally publishedYes


  • Braided monoidal category
  • Chain complex
  • Iwahori–Hecke algebra
  • Legendrian tangle
  • Skein relations


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