Kashiwara–Vergne solutions degree by degree
We show that solutions to the Kashiwara–Vergne problem can be extended degree by degree. This can be used to simplify the computation of a class of Drinfel’d associators, which under the Alekseev–Torossian conjecture, may comprise all associators. We also give a proof that the associated graded Lie algebra of the Kashiwara–Vergne group is isomorphic to the graded Kashiwara–Vergne Lie algebra.
Authors
- Guillaume Laplante‐Anfossi (ORCID: https://orcid.org/0000-0002-7383-4474)
- Zsuzsanna Dancso (ORCID: https://orcid.org/0000-0002-0598-3689)
- Marcy Robertson (ORCID: https://orcid.org/0000-0002-6994-8364)
- Iva Halacheva (ORCID: https://orcid.org/0000-0002-2189-2197)
Publication Details
- Journal
- Comptes Rendus Mathématique
- Published
- 2025-06-27
- DOI
- https://doi.org/10.5802/crmath.750
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Stanley Medical Research Institute