3 papers
math.QA2026
Ecalle's dimorphic transportation and Brown's lifting
Hanamichi Kawamura
Brown's lifting procedure shows that one can solve the double shuffle equations modulo products from solutions of linearized ones. In this paper, we reveal that it is described in…
math.QA2025
Ecalle's senary relation and dimorphic structures
Hanamichi Kawamura
This paper gives a completed proof of Ecalle's senary relation in the original form. As an application, we obtain another proof of the fact that the double shuffle Lie algebra inje…
math.NT2025
A Note on Flexion Units
Hanamichi Kawamura
This article is a survey of Ecalle's theory of flexion units. In particular, we provide complete proofs of several key assertions that were stated without proof in Ecalle's origina…