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SUMMARY:Batalin-Vilkovisky algebra via the double cobar construction
DTSTART:20131122T141500
DTEND:20131122T153000
DTSTAMP:20260916T043406Z
UID:babf8a40db0e73c3f0e0c8a8bc73b9b1f38dc21463e60f224344cb92
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alexandre Quesney (Nantes)\nLet X be a simplicial set. H.-J. B
 aues constructed an explicit coproduct on the cobar construction of X. Thi
 s 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 spac
 e of |X|\; 2- it corresponds to an E_2-coalgebra structure on the chain co
 mplex of X. By using this E_2-coalgebra structure\, we establish a criteri
 on 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-algeb
 ra structure up to homotopy when X is an iterated simplicial suspension. W
 e also discuss the particular case when the ground ring is a characteristi
 c zero field.
LOCATION:MA 30
STATUS:CONFIRMED
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