State sums for some super quantum link invariants

  • Louis-Hadrien Robert

    Université du Luxembourg, Esch-sur-Alzette, Luxembourg
  • Emmanuel Wagner

    Université Paris Diderot, France
State sums for some super quantum link invariants cover

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Abstract

We present state sums for quantum link invariants arising from the representation theory of Uq(glNM)U_q(\mathfrak{gl}_{N \mid M}). We investigate the case of the NNth exterior power of the standard representation of Uq(glN1)U_q(\mathfrak{gl}_{N \mid 1}) and make explicit the relation with Kashaev invariants.