Construction of Maurer-Cartan elements over configuration spaces of curves - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2021

Construction of Maurer-Cartan elements over configuration spaces of curves

Résumé

For C a complex curve and n ≥ 1, a pair ($P$, $\Delta_P$) of a principal bundle $P$ with meromorphic flat connection over $C^n$ , holomorphic over the configuration space $C_n(C)$ of n points over $C$, was introduced in [En]. For any point ∞ ∈ C, we construct a trivialisation of the restriction of P to (C \ ∞)$^n$ and obtain a Maurer-Cartan element $J$ over $C_n$(C \ ∞) out of $\Delta_P$ , thus generalising a construction of Levin and Racinet when the genus of C is higher than one. We give explicit formulas for J as well as for $\Delta_P$. When n = 1, this construction gives rise to elements of Hain's space of second kind iterated integrals over C.
Fichier principal
Vignette du fichier
publi.pdf (630.31 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

cea-03406087 , version 1 (27-10-2021)

Identifiants

Citer

Benjamin Enriquez, Federico Zerbini. Construction of Maurer-Cartan elements over configuration spaces of curves. 2021. ⟨cea-03406087⟩
69 Consultations
56 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More