The paper proves the KKLS conjecture that averaged gl-weight systems equal combinations of Schur functions with Bernoulli polynomial coefficients, and establishes the analogous q-deformed formula for quantum gl-weight systems on Hecke algebras.
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Quantum $\mathfrak{gl}$-weight system and its average values
The paper proves the KKLS conjecture that averaged gl-weight systems equal combinations of Schur functions with Bernoulli polynomial coefficients, and establishes the analogous q-deformed formula for quantum gl-weight systems on Hecke algebras.