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State sums for some super quantum link invariants

Quantum Algebra 2019-09-06 v1 Combinatorics Geometric Topology

Abstract

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

Cite

@article{arxiv.1909.02305,
  title  = {State sums for some super quantum link invariants},
  author = {Louis-Hadrien Robert and Emmanuel Wagner},
  journal= {arXiv preprint arXiv:1909.02305},
  year   = {2019}
}

Comments

31 pages, comments welcome!

R2 v1 2026-06-23T11:06:33.132Z