English

The Delta Conjecture at $q=1$

Combinatorics 2016-09-19 v1

Abstract

We use a weight-preserving, sign-reversing involution to find a combinatorial expansion of Δeken\Delta_{e_k} e_n at q=1q=1 in terms of the elementary symmetric function basis. We then use a weight-preserving bijection to prove the Delta Conjecture at q=1q=1. The method of proof provides a variety of structures which can compute the inner product of Δekenq=1\Delta_{e_k} e_n|_{q=1} with any symmetric function.

Keywords

Cite

@article{arxiv.1609.04865,
  title  = {The Delta Conjecture at $q=1$},
  author = {Marino Romero},
  journal= {arXiv preprint arXiv:1609.04865},
  year   = {2016}
}
R2 v1 2026-06-22T15:51:23.127Z