The generalised valley version of the Delta conjecture
The generalised valley version of the Delta conjecture
Let with , and let denote the partially labelled rectangular Dyck paths with decorated valleys. For such a path , let , , and denote its diagonal-inversion statistic, area, and monomial weight, respectively. Let and be the Delta operators indexed by the complete and elementary symmetric functions. Generalised Delta conjecture, valley version.
The source notes that this formula contains the preceding valley Delta conjecture as the special case and attributes it to Qiu and Wilson. Its status is not resolved in the supplied source.
Sources & referencesView supporting material
Primary source
Alessandro Iraci and Anna Vanden Wyngaerd, “"Pushing" our way from the valley Delta to the generalised valley Delta”, arXiv:2101.02600 (2021).
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