On the Elliptic Kashiwara–Vergne Lie Algebra

Autor: Leila Schneps, Elise Raphael
Rok vydání: 2020
Předmět:
Zdroj: Springer Proceedings in Mathematics & Statistics ISBN: 9783030517946
DOI: 10.1007/978-3-030-51795-3_11
Popis: We recall the definitions of two independently defined elliptic versions of the Kashiwara–Vergne Lie algebra \({\mathfrak {krv}}\), namely the Lie algebra \({\mathfrak {krv}}^{(1,1)}\) constructed by Alekseev, Kawazumi, Kuno and Naef arising from the study of graded formality isomorphisms associated to topological fundamental groups of surfaces, and the Lie algebra \({\mathfrak {krv}}_{ell}\) defined using mould theoretic techniques arising from multiple zeta theory by Raphael and Schneps, and show that they coincide.
Databáze: OpenAIRE