Batalin-Vilkovisky algebra via the double cobar construction
Event details
| Date | 22.11.2013 |
| Hour | 14:15 › 15:30 |
| Speaker | Alexandre Quesney (Nantes) |
| Location |
MA 30
|
| Category | Conferences - Seminars |
Let X be a simplicial set. H.-J. Baues constructed an explicit coproduct on the cobar construction of X. This coproduct has two well-known properties : 1- the resulting double cobar construction of X is a model for the chain complex of the double loop space of |X|; 2- it corresponds to an E_2-coalgebra structure on the chain complex of X. By using this E_2-coalgebra structure, we establish a criterion for obtaining a BV-algebra structure up to homotopy (à la Gerstenhaber-Voronov) on the double cobar construction of X. We obtain such a BV-algebra structure up to homotopy when X is an iterated simplicial suspension. We also discuss the particular case when the ground ring is a characteristic zero field.
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Practical information
- Informed public
- Free
Organizer
- Kathryn Hess Bellwald