16-18 October 2013
Université d'Angers
Europe/Paris timezone

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

Speaker

Mr 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

Primary author

Mr Alexandre Quesney (Université de Nantes)

Presentation Materials

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