214 citations · 588 across the 26 of their papers we have counts for
4 papers · 1 filter
Toric varieties of Loday's associahedra and noncommutative cohomological field theories
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
We introduce and study several new topological operads that should be regarded as nonsymmetric analogues of the operads of little 2-disks, framed little 2-disks, and Deligne-Mumfor…
Brown's moduli spaces of curves and the gravity operad
Clément Dupont, Bruno Vallette
This paper is built on the following observation: the purity of the mixed Hodge structure on the cohomology of Brown's moduli spaces is essentially equivalent to the freeness of th…
Symmetric homotopy theory for operads
Malte Dehling, Bruno Vallette
The purpose of this foundational paper is to introduce various notions and constructions in order to develop the homotopy theory for differential graded operads over any ring. The…
Pre-Lie deformation theory
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
In this paper, we develop the deformation theory controlled by pre-Lie algebras; the main tool is a new integration theory for pre-Lie algebras. The main field of application lies…