16–18 oct. 2013
Université d'Angers
Fuseau horaire Europe/Paris

A lift of a Batalin-Vilkovisky algebra structure on the double cobar construction

16 oct. 2013, 15:20
45m
Amphi L005 (bâtiment L) (Université d'Angers)

Amphi L005 (bâtiment L)

Université d'Angers

Université d'Angers, 2 Boulevard Lavoisier, 49045 Angers cedex 01
Exposé de recherche sur proposition Topologie algébrique et applications

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

Auteur principal

M. Alexandre Quesney (Université de Nantes)

Documents de présentation

Aucun document.