Geodesic
Formality of Koszul brackets and deformations of holomorphic Poisson manifolds
Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 63-75.

Voir la notice de l'article provenant de la source International Press of Boston

We show that if a generator of a differential Gerstenhaber algebra satisfies certain Cartan-type identities, then the corresponding Lie bracket is formal. Geometric examples include the shifted de Rham complex of a Poisson manifold and the subcomplex of differential forms on a symplectic manifold vanishing on a Lagrangian submanifold, endowed with the Koszul bracket. As a corollary we generalize a recent result by Hitchin on deformations of holomorphic Poisson manifolds.
DOI : 10.4310/HHA.2012.v14.n2.a4
Classification : 13D10, 18G55, 53D17
Keywords: homotopical algebra, differential graded Lie algebra, Batalin-Vilkovisky algebra, deformation theory, Poisson manifold 
@article{HHA_2012_14_2_a4,
     author = {Domenico Fiorenza and Marco Manetti},
     title = {Formality of {Koszul} brackets and deformations of holomorphic {Poisson} manifolds},
     journal = {Homology, homotopy, and applications},
     pages = {63--75},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2012},
     doi = {10.4310/HHA.2012.v14.n2.a4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a4/}
}
TY  - JOUR
AU  - Domenico Fiorenza
AU  - Marco Manetti
TI  - Formality of Koszul brackets and deformations of holomorphic Poisson manifolds
JO  - Homology, homotopy, and applications
PY  - 2012
SP  - 63
EP  - 75
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a4/
DO  - 10.4310/HHA.2012.v14.n2.a4
LA  - en
ID  - HHA_2012_14_2_a4
ER  - 
%0 Journal Article
%A Domenico Fiorenza
%A Marco Manetti
%T Formality of Koszul brackets and deformations of holomorphic Poisson manifolds
%J Homology, homotopy, and applications
%D 2012
%P 63-75
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a4/
%R 10.4310/HHA.2012.v14.n2.a4
%G en
%F HHA_2012_14_2_a4
Domenico Fiorenza; Marco Manetti. Formality of Koszul brackets and deformations of holomorphic Poisson manifolds. Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 63-75. doi : 10.4310/HHA.2012.v14.n2.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a4/

Cité par Sources :