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## Homotopy Batalin-Vilkovisky algebras

Author
Galvez, M.; Tonks, A.; Vallette, B.
Type of activity
Report
Date
2011-03-30
Repository
http://hdl.handle.net/2117/14483
URL
http://arxiv.org/abs/0907.2246
Abstract
This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties. To define this resolution we extend the theory of Koszul duality to operads and properads that are defind by quadratic and linear relations. The operad encoding Batalin-Vilkovisky algebras is shown to be Koszul in this sense. This allows us to prove a Poincare-Birkhoff-Witt Theorem for s...
Citation
Gálvez, I.; Tonks, A.; Vallette, B. "Homotopy Batalin-Vilkovisky algebras". 2011.
Group of research
GEOMVAP - Geometry of Manifolds and Applications