PreprintCC BY 4.0arXiv
On adjoint double shuffle relations and adjoint reduction relations
Abstract
In this paper, we give a positive answer to Jarossay's question under the adjoint reduction relations. Namely, we prove that the extended double shuffle relations together with the relation mod π2 are equivalent to the adjoint double shuffle relations together with the adjoint reduction relations.
Related
- Spectral theorem for compact self-adjoint linear relations with an application to elliptic boundary value problems
- Double shuffle relations via the Hodge defect
- Regularised double shuffle relations for planar Arborified Zeta Values
- Double shuffle relations and double antipodes
- Spectral theorem for compact self-adjoint operators on smooth Banach spaces
BibTeX
@misc{anzawa2026adjoint,
title = {{On adjoint double shuffle relations and adjoint reduction relations}},
author = {Takumi Anzawa},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30720},
eprint = {2610.30720},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30720},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On adjoint double shuffle relations and adjoint reduction relations
AU - Takumi Anzawa
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.30720
UR - https://arxiv.org/abs/2610.30720
AB - In this paper, we give a positive answer to Jarossay's question under the adjoint reduction relations. Namely, we prove that the extended double shuffle relations together with the relation mod π^2 are equivalent to the adjoint double shuffle relations together with the adjoint reduction relations.
ER -