Orateur
M.
Alexandre Quesney
(Université de Nantes)
Description
Let X be a simplicial set. H.-J. Baues constructed an explicit coproduct on the cobar construction of X.
This coproduct can be expressed as co-operations on the chain complex of X. We establish a criterion in terms of these co-operations for the obtention of a Batalin-Vilkovisky algebra structure up to homotopy (in the sense of Gerstenhaber-Voronov) on the double cobar construction.
As an application we obtain a Batalin-Vilkovisky algebra structure up to homotopy on the double construction of an iterated simplicial suspension.
We also discuss the particular case when the ground ring is a characteristic zero field.
| Mots Clés / Keywords | BV structure; cobar construction |
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Auteur principal
M.
Alexandre Quesney
(Université de Nantes)
